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Finding the Third Proportional to 517,892,142 and 1,109,654,478

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Solution

The third proportional to 517,892,142 and 1,109,654,478 is: 2,377,585,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,892,142 : 1,109,654,478 = 1,109,654,478 : x
  2. Step 2: Convert to fraction form
    517,892,142/1,109,654,478 = 1,109,654,478/x
  3. Step 3: Cross multiply
    517,892,142x = 1,109,654,478 × 1,109,654,478
  4. Step 4: Simplify right side
    517,892,142x = 1,231,333,060,545,452,544
  5. Step 5: Solve for x
    x = 1,231,333,060,545,452,544/517,892,142
  6. Step 6: Final answer
    x = 2,377,585,911.60

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