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Finding the Third Proportional to 2,514,308 and 5,427,016

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Solution

The third proportional to 2,514,308 and 5,427,016 is: 11,713,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,308 : 5,427,016 = 5,427,016 : x
  2. Step 2: Convert to fraction form
    2,514,308/5,427,016 = 5,427,016/x
  3. Step 3: Cross multiply
    2,514,308x = 5,427,016 × 5,427,016
  4. Step 4: Simplify right side
    2,514,308x = 29,452,502,664,256
  5. Step 5: Solve for x
    x = 29,452,502,664,256/2,514,308
  6. Step 6: Final answer
    x = 11,713,959.73

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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.