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Finding the Third Proportional to 10,435,794.50 and 22,724,251

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Solution

The third proportional to 10,435,794.50 and 22,724,251 is: 49,482,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435,794.50 : 22,724,251 = 22,724,251 : x
  2. Step 2: Convert to fraction form
    10,435,794.50/22,724,251 = 22,724,251/x
  3. Step 3: Cross multiply
    10,435,794.50x = 22,724,251 × 22,724,251
  4. Step 4: Simplify right side
    10,435,794.50x = 516,391,583,511,001
  5. Step 5: Solve for x
    x = 516,391,583,511,001/10,435,794.50
  6. Step 6: Final answer
    x = 49,482,728.27

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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.