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Finding the Third Proportional to 127,948,874 and 278,615,188

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Solution

The third proportional to 127,948,874 and 278,615,188 is: 606,698,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,948,874 : 278,615,188 = 278,615,188 : x
  2. Step 2: Convert to fraction form
    127,948,874/278,615,188 = 278,615,188/x
  3. Step 3: Cross multiply
    127,948,874x = 278,615,188 × 278,615,188
  4. Step 4: Simplify right side
    127,948,874x = 77,626,422,984,275,344
  5. Step 5: Solve for x
    x = 77,626,422,984,275,344/127,948,874
  6. Step 6: Final answer
    x = 606,698,758.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.