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Finding the Third Proportional to 22,866,788,047 and 49,532,447,582

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Solution

The third proportional to 22,866,788,047 and 49,532,447,582 is: 107,293,746,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866,788,047 : 49,532,447,582 = 49,532,447,582 : x
  2. Step 2: Convert to fraction form
    22,866,788,047/49,532,447,582 = 49,532,447,582/x
  3. Step 3: Cross multiply
    22,866,788,047x = 49,532,447,582 × 49,532,447,582
  4. Step 4: Simplify right side
    22,866,788,047x = 2,453,463,363,463,577,862,144
  5. Step 5: Solve for x
    x = 2,453,463,363,463,577,862,144/22,866,788,047
  6. Step 6: Final answer
    x = 107,293,746,652.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.