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Finding the Third Proportional to 12,614,838.75 and 27,617,881.50

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Solution

The third proportional to 12,614,838.75 and 27,617,881.50 is: 60,464,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614,838.75 : 27,617,881.50 = 27,617,881.50 : x
  2. Step 2: Convert to fraction form
    12,614,838.75/27,617,881.50 = 27,617,881.50/x
  3. Step 3: Cross multiply
    12,614,838.75x = 27,617,881.50 × 27,617,881.50
  4. Step 4: Simplify right side
    12,614,838.75x = 762,747,378,548,042.25
  5. Step 5: Solve for x
    x = 762,747,378,548,042.25/12,614,838.75
  6. Step 6: Final answer
    x = 60,464,298.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.