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Finding the Third Proportional to 387,748,092 and 829,976,568

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Solution

The third proportional to 387,748,092 and 829,976,568 is: 1,776,568,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,748,092 : 829,976,568 = 829,976,568 : x
  2. Step 2: Convert to fraction form
    387,748,092/829,976,568 = 829,976,568/x
  3. Step 3: Cross multiply
    387,748,092x = 829,976,568 × 829,976,568
  4. Step 4: Simplify right side
    387,748,092x = 688,861,103,429,058,560
  5. Step 5: Solve for x
    x = 688,861,103,429,058,560/387,748,092
  6. Step 6: Final answer
    x = 1,776,568,647.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.