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Finding the Third Proportional to 407,793,767,453 and 639,708,080,466

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Solution

The third proportional to 407,793,767,453 and 639,708,080,466 is: 1,003,513,199,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,793,767,453 : 639,708,080,466 = 639,708,080,466 : x
  2. Step 2: Convert to fraction form
    407,793,767,453/639,708,080,466 = 639,708,080,466/x
  3. Step 3: Cross multiply
    407,793,767,453x = 639,708,080,466 × 639,708,080,466
  4. Step 4: Simplify right side
    407,793,767,453x = 409,226,428,213,494,305,259,520
  5. Step 5: Solve for x
    x = 409,226,428,213,494,305,259,520/407,793,767,453
  6. Step 6: Final answer
    x = 1,003,513,199,256.19

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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.