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Finding the Third Proportional to 1,118,775,744 and 1,755,029,016

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Solution

The third proportional to 1,118,775,744 and 1,755,029,016 is: 2,753,122,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118,775,744 : 1,755,029,016 = 1,755,029,016 : x
  2. Step 2: Convert to fraction form
    1,118,775,744/1,755,029,016 = 1,755,029,016/x
  3. Step 3: Cross multiply
    1,118,775,744x = 1,755,029,016 × 1,755,029,016
  4. Step 4: Simplify right side
    1,118,775,744x = 3,080,126,847,001,928,192
  5. Step 5: Solve for x
    x = 3,080,126,847,001,928,192/1,118,775,744
  6. Step 6: Final answer
    x = 2,753,122,655.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.