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Finding the Third Proportional to 24,721,986.75 and 36,368,514

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Solution

The third proportional to 24,721,986.75 and 36,368,514 is: 53,501,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721,986.75 : 36,368,514 = 36,368,514 : x
  2. Step 2: Convert to fraction form
    24,721,986.75/36,368,514 = 36,368,514/x
  3. Step 3: Cross multiply
    24,721,986.75x = 36,368,514 × 36,368,514
  4. Step 4: Simplify right side
    24,721,986.75x = 1,322,668,810,568,196
  5. Step 5: Solve for x
    x = 1,322,668,810,568,196/24,721,986.75
  6. Step 6: Final answer
    x = 53,501,719.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.