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Finding the Third Proportional to 9,129,084.75 and 13,665,196.13

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Solution

The third proportional to 9,129,084.75 and 13,665,196.13 is: 20,455,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129,084.75 : 13,665,196.13 = 13,665,196.13 : x
  2. Step 2: Convert to fraction form
    9,129,084.75/13,665,196.13 = 13,665,196.13/x
  3. Step 3: Cross multiply
    9,129,084.75x = 13,665,196.13 × 13,665,196.13
  4. Step 4: Simplify right side
    9,129,084.75x = 186,737,585,134,715
  5. Step 5: Solve for x
    x = 186,737,585,134,715/9,129,084.75
  6. Step 6: Final answer
    x = 20,455,236.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.