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Finding the Third Proportional to 2,514,306 and 5,427,012

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Solution

The third proportional to 2,514,306 and 5,427,012 is: 11,713,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,306 : 5,427,012 = 5,427,012 : x
  2. Step 2: Convert to fraction form
    2,514,306/5,427,012 = 5,427,012/x
  3. Step 3: Cross multiply
    2,514,306x = 5,427,012 × 5,427,012
  4. Step 4: Simplify right side
    2,514,306x = 29,452,459,248,144
  5. Step 5: Solve for x
    x = 29,452,459,248,144/2,514,306
  6. Step 6: Final answer
    x = 11,713,951.78

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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.