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Finding the Third Proportional to 12,619,642.50 and 27,450,376

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Solution

The third proportional to 12,619,642.50 and 27,450,376 is: 59,710,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619,642.50 : 27,450,376 = 27,450,376 : x
  2. Step 2: Convert to fraction form
    12,619,642.50/27,450,376 = 27,450,376/x
  3. Step 3: Cross multiply
    12,619,642.50x = 27,450,376 × 27,450,376
  4. Step 4: Simplify right side
    12,619,642.50x = 753,523,142,541,376
  5. Step 5: Solve for x
    x = 753,523,142,541,376/12,619,642.50
  6. Step 6: Final answer
    x = 59,710,339.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.