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Finding the Third Proportional to 27,524,317.64 and 38,575,143.21

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Solution

The third proportional to 27,524,317.64 and 38,575,143.21 is: 54,062,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524,317.64 : 38,575,143.21 = 38,575,143.21 : x
  2. Step 2: Convert to fraction form
    27,524,317.64/38,575,143.21 = 38,575,143.21/x
  3. Step 3: Cross multiply
    27,524,317.64x = 38,575,143.21 × 38,575,143.21
  4. Step 4: Simplify right side
    27,524,317.64x = 1,488,041,673,744,222
  5. Step 5: Solve for x
    x = 1,488,041,673,744,222/27,524,317.64
  6. Step 6: Final answer
    x = 54,062,799.78

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.