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Finding the Third Proportional to 345,259,707 and 739,766,238

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Solution

The third proportional to 345,259,707 and 739,766,238 is: 1,585,050,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,259,707 : 739,766,238 = 739,766,238 : x
  2. Step 2: Convert to fraction form
    345,259,707/739,766,238 = 739,766,238/x
  3. Step 3: Cross multiply
    345,259,707x = 739,766,238 × 739,766,238
  4. Step 4: Simplify right side
    345,259,707x = 547,254,086,884,672,640
  5. Step 5: Solve for x
    x = 547,254,086,884,672,640/345,259,707
  6. Step 6: Final answer
    x = 1,585,050,545.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.