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Finding the Third Proportional to 12,031,281 and 25,054,002

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Solution

The third proportional to 12,031,281 and 25,054,002 is: 52,172,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,281 : 25,054,002 = 25,054,002 : x
  2. Step 2: Convert to fraction form
    12,031,281/25,054,002 = 25,054,002/x
  3. Step 3: Cross multiply
    12,031,281x = 25,054,002 × 25,054,002
  4. Step 4: Simplify right side
    12,031,281x = 627,703,016,216,004
  5. Step 5: Solve for x
    x = 627,703,016,216,004/12,031,281
  6. Step 6: Final answer
    x = 52,172,583.80

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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.