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Finding the Third Proportional to 2,514,464 and 5,427,232

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Solution

The third proportional to 2,514,464 and 5,427,232 is: 11,714,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,464 : 5,427,232 = 5,427,232 : x
  2. Step 2: Convert to fraction form
    2,514,464/5,427,232 = 5,427,232/x
  3. Step 3: Cross multiply
    2,514,464x = 5,427,232 × 5,427,232
  4. Step 4: Simplify right side
    2,514,464x = 29,454,847,181,824
  5. Step 5: Solve for x
    x = 29,454,847,181,824/2,514,464
  6. Step 6: Final answer
    x = 11,714,165.40

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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.