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Finding the Third Proportional to 4,676,472,710 and 10,176,195,724

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Solution

The third proportional to 4,676,472,710 and 10,176,195,724 is: 22,143,817,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,472,710 : 10,176,195,724 = 10,176,195,724 : x
  2. Step 2: Convert to fraction form
    4,676,472,710/10,176,195,724 = 10,176,195,724/x
  3. Step 3: Cross multiply
    4,676,472,710x = 10,176,195,724 × 10,176,195,724
  4. Step 4: Simplify right side
    4,676,472,710x = 103,554,959,413,155,889,152
  5. Step 5: Solve for x
    x = 103,554,959,413,155,889,152/4,676,472,710
  6. Step 6: Final answer
    x = 22,143,817,752.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.