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Finding the Third Proportional to 292,708,566 and 636,433,524

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Solution

The third proportional to 292,708,566 and 636,433,524 is: 1,383,791,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,708,566 : 636,433,524 = 636,433,524 : x
  2. Step 2: Convert to fraction form
    292,708,566/636,433,524 = 636,433,524/x
  3. Step 3: Cross multiply
    292,708,566x = 636,433,524 × 636,433,524
  4. Step 4: Simplify right side
    292,708,566x = 405,047,630,471,058,560
  5. Step 5: Solve for x
    x = 405,047,630,471,058,560/292,708,566
  6. Step 6: Final answer
    x = 1,383,791,516.61

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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.