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Finding the Third Proportional to 732,877,065 and 1,597,440,690

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Solution

The third proportional to 732,877,065 and 1,597,440,690 is: 3,481,916,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,877,065 : 1,597,440,690 = 1,597,440,690 : x
  2. Step 2: Convert to fraction form
    732,877,065/1,597,440,690 = 1,597,440,690/x
  3. Step 3: Cross multiply
    732,877,065x = 1,597,440,690 × 1,597,440,690
  4. Step 4: Simplify right side
    732,877,065x = 2,551,816,758,067,676,160
  5. Step 5: Solve for x
    x = 2,551,816,758,067,676,160/732,877,065
  6. Step 6: Final answer
    x = 3,481,916,517.70

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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.