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Finding the Third Proportional to 2,373,780,737 and 3,489,562,987

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Solution

The third proportional to 2,373,780,737 and 3,489,562,987 is: 5,129,812,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373,780,737 : 3,489,562,987 = 3,489,562,987 : x
  2. Step 2: Convert to fraction form
    2,373,780,737/3,489,562,987 = 3,489,562,987/x
  3. Step 3: Cross multiply
    2,373,780,737x = 3,489,562,987 × 3,489,562,987
  4. Step 4: Simplify right side
    2,373,780,737x = 12,177,049,840,240,361,472
  5. Step 5: Solve for x
    x = 12,177,049,840,240,361,472/2,373,780,737
  6. Step 6: Final answer
    x = 5,129,812,391.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.