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Finding the Third Proportional to 7,974,272.81 and 17,041,620.38

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Solution

The third proportional to 7,974,272.81 and 17,041,620.38 is: 36,419,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974,272.81 : 17,041,620.38 = 17,041,620.38 : x
  2. Step 2: Convert to fraction form
    7,974,272.81/17,041,620.38 = 17,041,620.38/x
  3. Step 3: Cross multiply
    7,974,272.81x = 17,041,620.38 × 17,041,620.38
  4. Step 4: Simplify right side
    7,974,272.81x = 290,416,825,005,615.12
  5. Step 5: Solve for x
    x = 290,416,825,005,615.12/7,974,272.81
  6. Step 6: Final answer
    x = 36,419,223.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.