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Finding the Third Proportional to 732,877,071 and 1,597,440,699

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Solution

The third proportional to 732,877,071 and 1,597,440,699 is: 3,481,916,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,877,071 : 1,597,440,699 = 1,597,440,699 : x
  2. Step 2: Convert to fraction form
    732,877,071/1,597,440,699 = 1,597,440,699/x
  3. Step 3: Cross multiply
    732,877,071x = 1,597,440,699 × 1,597,440,699
  4. Step 4: Simplify right side
    732,877,071x = 2,551,816,786,821,608,448
  5. Step 5: Solve for x
    x = 2,551,816,786,821,608,448/732,877,071
  6. Step 6: Final answer
    x = 3,481,916,528.43

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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.