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Finding the Third Proportional to 2,514,500 and 5,427,304

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Solution

The third proportional to 2,514,500 and 5,427,304 is: 11,714,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,500 : 5,427,304 = 5,427,304 : x
  2. Step 2: Convert to fraction form
    2,514,500/5,427,304 = 5,427,304/x
  3. Step 3: Cross multiply
    2,514,500x = 5,427,304 × 5,427,304
  4. Step 4: Simplify right side
    2,514,500x = 29,455,628,708,416
  5. Step 5: Solve for x
    x = 29,455,628,708,416/2,514,500
  6. Step 6: Final answer
    x = 11,714,308.49

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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.