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Finding the Third Proportional to 12,031,200 and 25,053,840

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Solution

The third proportional to 12,031,200 and 25,053,840 is: 52,172,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,200 : 25,053,840 = 25,053,840 : x
  2. Step 2: Convert to fraction form
    12,031,200/25,053,840 = 25,053,840/x
  3. Step 3: Cross multiply
    12,031,200x = 25,053,840 × 25,053,840
  4. Step 4: Simplify right side
    12,031,200x = 627,694,898,745,600
  5. Step 5: Solve for x
    x = 627,694,898,745,600/12,031,200
  6. Step 6: Final answer
    x = 52,172,260.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.