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Finding the Third Proportional to 1,027,717,425 and 1,541,891,160

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Solution

The third proportional to 1,027,717,425 and 1,541,891,160 is: 2,313,309,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,717,425 : 1,541,891,160 = 1,541,891,160 : x
  2. Step 2: Convert to fraction form
    1,027,717,425/1,541,891,160 = 1,541,891,160/x
  3. Step 3: Cross multiply
    1,027,717,425x = 1,541,891,160 × 1,541,891,160
  4. Step 4: Simplify right side
    1,027,717,425x = 2,377,428,349,286,145,536
  5. Step 5: Solve for x
    x = 2,377,428,349,286,145,536/1,027,717,425
  6. Step 6: Final answer
    x = 2,313,309,370.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.