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Finding the Third Proportional to 12,189,294 and 25,387,494.75

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Solution

The third proportional to 12,189,294 and 25,387,494.75 is: 52,876,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189,294 : 25,387,494.75 = 25,387,494.75 : x
  2. Step 2: Convert to fraction form
    12,189,294/25,387,494.75 = 25,387,494.75/x
  3. Step 3: Cross multiply
    12,189,294x = 25,387,494.75 × 25,387,494.75
  4. Step 4: Simplify right side
    12,189,294x = 644,524,889,681,277.50
  5. Step 5: Solve for x
    x = 644,524,889,681,277.50/12,189,294
  6. Step 6: Final answer
    x = 52,876,310.12

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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.