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Finding the Third Proportional to 127,217,199 and 276,961,386

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Solution

The third proportional to 127,217,199 and 276,961,386 is: 602,965,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,217,199 : 276,961,386 = 276,961,386 : x
  2. Step 2: Convert to fraction form
    127,217,199/276,961,386 = 276,961,386/x
  3. Step 3: Cross multiply
    127,217,199x = 276,961,386 × 276,961,386
  4. Step 4: Simplify right side
    127,217,199x = 76,707,609,335,040,992
  5. Step 5: Solve for x
    x = 76,707,609,335,040,992/127,217,199
  6. Step 6: Final answer
    x = 602,965,714.84

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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.