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Finding the Third Proportional to 608,125,998.38 and 1,327,721,743.97

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Solution

The third proportional to 608,125,998.38 and 1,327,721,743.97 is: 2,898,815,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,125,998.38 : 1,327,721,743.97 = 1,327,721,743.97 : x
  2. Step 2: Convert to fraction form
    608,125,998.38/1,327,721,743.97 = 1,327,721,743.97/x
  3. Step 3: Cross multiply
    608,125,998.38x = 1,327,721,743.97 × 1,327,721,743.97
  4. Step 4: Simplify right side
    608,125,998.38x = 1,762,845,029,407,552,000
  5. Step 5: Solve for x
    x = 1,762,845,029,407,552,000/608,125,998.38
  6. Step 6: Final answer
    x = 2,898,815,433.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.