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Finding the Third Proportional to 127,000,251 and 269,260,974

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Solution

The third proportional to 127,000,251 and 269,260,974 is: 570,876,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,000,251 : 269,260,974 = 269,260,974 : x
  2. Step 2: Convert to fraction form
    127,000,251/269,260,974 = 269,260,974/x
  3. Step 3: Cross multiply
    127,000,251x = 269,260,974 × 269,260,974
  4. Step 4: Simplify right side
    127,000,251x = 72,501,472,119,428,672
  5. Step 5: Solve for x
    x = 72,501,472,119,428,672/127,000,251
  6. Step 6: Final answer
    x = 570,876,604.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.