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Finding the Third Proportional to 645,791,697 and 1,377,687,042

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Solution

The third proportional to 645,791,697 and 1,377,687,042 is: 2,939,061,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,791,697 : 1,377,687,042 = 1,377,687,042 : x
  2. Step 2: Convert to fraction form
    645,791,697/1,377,687,042 = 1,377,687,042/x
  3. Step 3: Cross multiply
    645,791,697x = 1,377,687,042 × 1,377,687,042
  4. Step 4: Simplify right side
    645,791,697x = 1,898,021,585,694,709,760
  5. Step 5: Solve for x
    x = 1,898,021,585,694,709,760/645,791,697
  6. Step 6: Final answer
    x = 2,939,061,611.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.