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Finding the Third Proportional to 1,724,947,479 and 3,752,123,481

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Solution

The third proportional to 1,724,947,479 and 3,752,123,481 is: 8,161,657,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,947,479 : 3,752,123,481 = 3,752,123,481 : x
  2. Step 2: Convert to fraction form
    1,724,947,479/3,752,123,481 = 3,752,123,481/x
  3. Step 3: Cross multiply
    1,724,947,479x = 3,752,123,481 × 3,752,123,481
  4. Step 4: Simplify right side
    1,724,947,479x = 14,078,430,616,671,557,632
  5. Step 5: Solve for x
    x = 14,078,430,616,671,557,632/1,724,947,479
  6. Step 6: Final answer
    x = 8,161,657,550.78

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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.