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Finding the Third Proportional to 12,087,471 and 24,883,524

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Solution

The third proportional to 12,087,471 and 24,883,524 is: 51,225,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087,471 : 24,883,524 = 24,883,524 : x
  2. Step 2: Convert to fraction form
    12,087,471/24,883,524 = 24,883,524/x
  3. Step 3: Cross multiply
    12,087,471x = 24,883,524 × 24,883,524
  4. Step 4: Simplify right side
    12,087,471x = 619,189,766,658,576
  5. Step 5: Solve for x
    x = 619,189,766,658,576/12,087,471
  6. Step 6: Final answer
    x = 51,225,749.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.