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Finding the Third Proportional to 517,891,968 and 1,109,654,154

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Solution

The third proportional to 517,891,968 and 1,109,654,154 is: 2,377,585,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,891,968 : 1,109,654,154 = 1,109,654,154 : x
  2. Step 2: Convert to fraction form
    517,891,968/1,109,654,154 = 1,109,654,154/x
  3. Step 3: Cross multiply
    517,891,968x = 1,109,654,154 × 1,109,654,154
  4. Step 4: Simplify right side
    517,891,968x = 1,231,332,341,489,455,616
  5. Step 5: Solve for x
    x = 1,231,332,341,489,455,616/517,891,968
  6. Step 6: Final answer
    x = 2,377,585,321.98

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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.