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Finding the Third Proportional to 6,195,951.88 and 13,421,251.63

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Solution

The third proportional to 6,195,951.88 and 13,421,251.63 is: 29,072,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,951.88 : 13,421,251.63 = 13,421,251.63 : x
  2. Step 2: Convert to fraction form
    6,195,951.88/13,421,251.63 = 13,421,251.63/x
  3. Step 3: Cross multiply
    6,195,951.88x = 13,421,251.63 × 13,421,251.63
  4. Step 4: Simplify right side
    6,195,951.88x = 180,129,995,181,565.12
  5. Step 5: Solve for x
    x = 180,129,995,181,565.12/6,195,951.88
  6. Step 6: Final answer
    x = 29,072,206.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.