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Finding the Third Proportional to 9,956,199 and 15,644,209.50

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Solution

The third proportional to 9,956,199 and 15,644,209.50 is: 24,581,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956,199 : 15,644,209.50 = 15,644,209.50 : x
  2. Step 2: Convert to fraction form
    9,956,199/15,644,209.50 = 15,644,209.50/x
  3. Step 3: Cross multiply
    9,956,199x = 15,644,209.50 × 15,644,209.50
  4. Step 4: Simplify right side
    9,956,199x = 244,741,290,879,890.25
  5. Step 5: Solve for x
    x = 244,741,290,879,890.25/9,956,199
  6. Step 6: Final answer
    x = 24,581,799.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.