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Finding the Third Proportional to 12,472,850 and 18,658,416

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Solution

The third proportional to 12,472,850 and 18,658,416 is: 27,911,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472,850 : 18,658,416 = 18,658,416 : x
  2. Step 2: Convert to fraction form
    12,472,850/18,658,416 = 18,658,416/x
  3. Step 3: Cross multiply
    12,472,850x = 18,658,416 × 18,658,416
  4. Step 4: Simplify right side
    12,472,850x = 348,136,487,629,056
  5. Step 5: Solve for x
    x = 348,136,487,629,056/12,472,850
  6. Step 6: Final answer
    x = 27,911,542.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.