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Finding the Third Proportional to 661,527,744 and 985,841,424

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Solution

The third proportional to 661,527,744 and 985,841,424 is: 1,469,149,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,527,744 : 985,841,424 = 985,841,424 : x
  2. Step 2: Convert to fraction form
    661,527,744/985,841,424 = 985,841,424/x
  3. Step 3: Cross multiply
    661,527,744x = 985,841,424 × 985,841,424
  4. Step 4: Simplify right side
    661,527,744x = 971,883,313,274,347,776
  5. Step 5: Solve for x
    x = 971,883,313,274,347,776/661,527,744
  6. Step 6: Final answer
    x = 1,469,149,740.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.