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Finding the Third Proportional to 620,613,252 and 1,350,187,663.50

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Solution

The third proportional to 620,613,252 and 1,350,187,663.50 is: 2,937,427,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,613,252 : 1,350,187,663.50 = 1,350,187,663.50 : x
  2. Step 2: Convert to fraction form
    620,613,252/1,350,187,663.50 = 1,350,187,663.50/x
  3. Step 3: Cross multiply
    620,613,252x = 1,350,187,663.50 × 1,350,187,663.50
  4. Step 4: Simplify right side
    620,613,252x = 1,823,006,726,667,589,120
  5. Step 5: Solve for x
    x = 1,823,006,726,667,589,120/620,613,252
  6. Step 6: Final answer
    x = 2,937,427,972.72

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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.