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Finding the Third Proportional to 32,301,514.13 and 49,649,658.75

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Solution

The third proportional to 32,301,514.13 and 49,649,658.75 is: 76,314,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301,514.13 : 49,649,658.75 = 49,649,658.75 : x
  2. Step 2: Convert to fraction form
    32,301,514.13/49,649,658.75 = 49,649,658.75/x
  3. Step 3: Cross multiply
    32,301,514.13x = 49,649,658.75 × 49,649,658.75
  4. Step 4: Simplify right side
    32,301,514.13x = 2,465,088,613,991,451.50
  5. Step 5: Solve for x
    x = 2,465,088,613,991,451.50/32,301,514.13
  6. Step 6: Final answer
    x = 76,314,955.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.