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Finding the Third Proportional to 387,748,088 and 829,976,560

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Solution

The third proportional to 387,748,088 and 829,976,560 is: 1,776,568,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,748,088 : 829,976,560 = 829,976,560 : x
  2. Step 2: Convert to fraction form
    387,748,088/829,976,560 = 829,976,560/x
  3. Step 3: Cross multiply
    387,748,088x = 829,976,560 × 829,976,560
  4. Step 4: Simplify right side
    387,748,088x = 688,861,090,149,433,600
  5. Step 5: Solve for x
    x = 688,861,090,149,433,600/387,748,088
  6. Step 6: Final answer
    x = 1,776,568,631.72

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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.