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Finding the Third Proportional to 12,582,438 and 27,000,012

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Solution

The third proportional to 12,582,438 and 27,000,012 is: 57,937,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582,438 : 27,000,012 = 27,000,012 : x
  2. Step 2: Convert to fraction form
    12,582,438/27,000,012 = 27,000,012/x
  3. Step 3: Cross multiply
    12,582,438x = 27,000,012 × 27,000,012
  4. Step 4: Simplify right side
    12,582,438x = 729,000,648,000,144
  5. Step 5: Solve for x
    x = 729,000,648,000,144/12,582,438
  6. Step 6: Final answer
    x = 57,937,948.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.