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Finding the Third Proportional to 127,951,416 and 276,291,080

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Solution

The third proportional to 127,951,416 and 276,291,080 is: 596,607,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,951,416 : 276,291,080 = 276,291,080 : x
  2. Step 2: Convert to fraction form
    127,951,416/276,291,080 = 276,291,080/x
  3. Step 3: Cross multiply
    127,951,416x = 276,291,080 × 276,291,080
  4. Step 4: Simplify right side
    127,951,416x = 76,336,760,887,566,400
  5. Step 5: Solve for x
    x = 76,336,760,887,566,400/127,951,416
  6. Step 6: Final answer
    x = 596,607,394.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.