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Finding the Third Proportional to 3,647,878,038 and 7,397,262,540

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Solution

The third proportional to 3,647,878,038 and 7,397,262,540 is: 15,000,362,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,878,038 : 7,397,262,540 = 7,397,262,540 : x
  2. Step 2: Convert to fraction form
    3,647,878,038/7,397,262,540 = 7,397,262,540/x
  3. Step 3: Cross multiply
    3,647,878,038x = 7,397,262,540 × 7,397,262,540
  4. Step 4: Simplify right side
    3,647,878,038x = 54,719,493,085,687,250,944
  5. Step 5: Solve for x
    x = 54,719,493,085,687,250,944/3,647,878,038
  6. Step 6: Final answer
    x = 15,000,362,543.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.