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Finding the Third Proportional to 2,687,840,430.19 and 3,737,227,269.94

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Solution

The third proportional to 2,687,840,430.19 and 3,737,227,269.94 is: 5,196,315,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,840,430.19 : 3,737,227,269.94 = 3,737,227,269.94 : x
  2. Step 2: Convert to fraction form
    2,687,840,430.19/3,737,227,269.94 = 3,737,227,269.94/x
  3. Step 3: Cross multiply
    2,687,840,430.19x = 3,737,227,269.94 × 3,737,227,269.94
  4. Step 4: Simplify right side
    2,687,840,430.19x = 13,966,867,667,165,247,488
  5. Step 5: Solve for x
    x = 13,966,867,667,165,247,488/2,687,840,430.19
  6. Step 6: Final answer
    x = 5,196,315,789.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.