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Finding the Third Proportional to 10,542,427 and 16,291,451

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Solution

The third proportional to 10,542,427 and 16,291,451 is: 25,175,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542,427 : 16,291,451 = 16,291,451 : x
  2. Step 2: Convert to fraction form
    10,542,427/16,291,451 = 16,291,451/x
  3. Step 3: Cross multiply
    10,542,427x = 16,291,451 × 16,291,451
  4. Step 4: Simplify right side
    10,542,427x = 265,411,375,685,401
  5. Step 5: Solve for x
    x = 265,411,375,685,401/10,542,427
  6. Step 6: Final answer
    x = 25,175,547.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.