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Finding the Third Proportional to 2,697,450,156,382.50 and 5,824,827,085,812.50

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Solution

The third proportional to 2,697,450,156,382.50 and 5,824,827,085,812.50 is: 12,578,030,589,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,450,156,382.50 : 5,824,827,085,812.50 = 5,824,827,085,812.50 : x
  2. Step 2: Convert to fraction form
    2,697,450,156,382.50/5,824,827,085,812.50 = 5,824,827,085,812.50/x
  3. Step 3: Cross multiply
    2,697,450,156,382.50x = 5,824,827,085,812.50 × 5,824,827,085,812.50
  4. Step 4: Simplify right side
    2,697,450,156,382.50x = 33,928,610,579,614,939,220,017,152
  5. Step 5: Solve for x
    x = 33,928,610,579,614,939,220,017,152/2,697,450,156,382.50
  6. Step 6: Final answer
    x = 12,578,030,589,123.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.