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Finding the Third Proportional to 292,708,567 and 636,433,526

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Solution

The third proportional to 292,708,567 and 636,433,526 is: 1,383,791,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,708,567 : 636,433,526 = 636,433,526 : x
  2. Step 2: Convert to fraction form
    292,708,567/636,433,526 = 636,433,526/x
  3. Step 3: Cross multiply
    292,708,567x = 636,433,526 × 636,433,526
  4. Step 4: Simplify right side
    292,708,567x = 405,047,633,016,792,704
  5. Step 5: Solve for x
    x = 405,047,633,016,792,704/292,708,567
  6. Step 6: Final answer
    x = 1,383,791,520.58

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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.