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Finding the Third Proportional to 407,793,767,451.18 and 639,708,080,463

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Solution

The third proportional to 407,793,767,451.18 and 639,708,080,463 is: 1,003,513,199,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,793,767,451.18 : 639,708,080,463 = 639,708,080,463 : x
  2. Step 2: Convert to fraction form
    407,793,767,451.18/639,708,080,463 = 639,708,080,463/x
  3. Step 3: Cross multiply
    407,793,767,451.18x = 639,708,080,463 × 639,708,080,463
  4. Step 4: Simplify right side
    407,793,767,451.18x = 409,226,428,209,656,080,891,904
  5. Step 5: Solve for x
    x = 409,226,428,209,656,080,891,904/407,793,767,451.18
  6. Step 6: Final answer
    x = 1,003,513,199,251.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.