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Finding the Third Proportional to 10,527,286.50 and 22,620,465

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Solution

The third proportional to 10,527,286.50 and 22,620,465 is: 48,605,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527,286.50 : 22,620,465 = 22,620,465 : x
  2. Step 2: Convert to fraction form
    10,527,286.50/22,620,465 = 22,620,465/x
  3. Step 3: Cross multiply
    10,527,286.50x = 22,620,465 × 22,620,465
  4. Step 4: Simplify right side
    10,527,286.50x = 511,685,436,816,225
  5. Step 5: Solve for x
    x = 511,685,436,816,225/10,527,286.50
  6. Step 6: Final answer
    x = 48,605,634.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.