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Finding the Third Proportional to 40,456,472 and 87,386,731

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Solution

The third proportional to 40,456,472 and 87,386,731 is: 188,756,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,456,472 : 87,386,731 = 87,386,731 : x
  2. Step 2: Convert to fraction form
    40,456,472/87,386,731 = 87,386,731/x
  3. Step 3: Cross multiply
    40,456,472x = 87,386,731 × 87,386,731
  4. Step 4: Simplify right side
    40,456,472x = 7,636,440,754,866,361
  5. Step 5: Solve for x
    x = 7,636,440,754,866,361/40,456,472
  6. Step 6: Final answer
    x = 188,756,962.17

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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.