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Finding the Third Proportional to 7,700,564.38 and 11,526,857.88

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Solution

The third proportional to 7,700,564.38 and 11,526,857.88 is: 17,254,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700,564.38 : 11,526,857.88 = 11,526,857.88 : x
  2. Step 2: Convert to fraction form
    7,700,564.38/11,526,857.88 = 11,526,857.88/x
  3. Step 3: Cross multiply
    7,700,564.38x = 11,526,857.88 × 11,526,857.88
  4. Step 4: Simplify right side
    7,700,564.38x = 132,868,452,470,449.52
  5. Step 5: Solve for x
    x = 132,868,452,470,449.52/7,700,564.38
  6. Step 6: Final answer
    x = 17,254,378.51

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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.