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Finding the Third Proportional to 10,703,714 and 15,258,327

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Solution

The third proportional to 10,703,714 and 15,258,327 is: 21,751,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703,714 : 15,258,327 = 15,258,327 : x
  2. Step 2: Convert to fraction form
    10,703,714/15,258,327 = 15,258,327/x
  3. Step 3: Cross multiply
    10,703,714x = 15,258,327 × 15,258,327
  4. Step 4: Simplify right side
    10,703,714x = 232,816,542,838,929
  5. Step 5: Solve for x
    x = 232,816,542,838,929/10,703,714
  6. Step 6: Final answer
    x = 21,751,005.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.