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Finding the Third Proportional to 10,286,406.56 and 22,346,061.75

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Solution

The third proportional to 10,286,406.56 and 22,346,061.75 is: 48,544,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,406.56 : 22,346,061.75 = 22,346,061.75 : x
  2. Step 2: Convert to fraction form
    10,286,406.56/22,346,061.75 = 22,346,061.75/x
  3. Step 3: Cross multiply
    10,286,406.56x = 22,346,061.75 × 22,346,061.75
  4. Step 4: Simplify right side
    10,286,406.56x = 499,346,475,734,813.06
  5. Step 5: Solve for x
    x = 499,346,475,734,813.06/10,286,406.56
  6. Step 6: Final answer
    x = 48,544,306.77

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