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Finding the Third Proportional to 816,092,769 and 1,770,742,160

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Solution

The third proportional to 816,092,769 and 1,770,742,160 is: 3,842,121,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,092,769 : 1,770,742,160 = 1,770,742,160 : x
  2. Step 2: Convert to fraction form
    816,092,769/1,770,742,160 = 1,770,742,160/x
  3. Step 3: Cross multiply
    816,092,769x = 1,770,742,160 × 1,770,742,160
  4. Step 4: Simplify right side
    816,092,769x = 3,135,527,797,201,465,344
  5. Step 5: Solve for x
    x = 3,135,527,797,201,465,344/816,092,769
  6. Step 6: Final answer
    x = 3,842,121,773.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.