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Finding the Third Proportional to 292,708,656 and 636,433,704

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Solution

The third proportional to 292,708,656 and 636,433,704 is: 1,383,791,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,708,656 : 636,433,704 = 636,433,704 : x
  2. Step 2: Convert to fraction form
    292,708,656/636,433,704 = 636,433,704/x
  3. Step 3: Cross multiply
    292,708,656x = 636,433,704 × 636,433,704
  4. Step 4: Simplify right side
    292,708,656x = 405,047,859,587,159,616
  5. Step 5: Solve for x
    x = 405,047,859,587,159,616/292,708,656
  6. Step 6: Final answer
    x = 1,383,791,873.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.