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Finding the Third Proportional to 45,969,909.75 and 68,556,223.13

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Solution

The third proportional to 45,969,909.75 and 68,556,223.13 is: 102,239,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,969,909.75 : 68,556,223.13 = 68,556,223.13 : x
  2. Step 2: Convert to fraction form
    45,969,909.75/68,556,223.13 = 68,556,223.13/x
  3. Step 3: Cross multiply
    45,969,909.75x = 68,556,223.13 × 68,556,223.13
  4. Step 4: Simplify right side
    45,969,909.75x = 4,699,955,729,164,785
  5. Step 5: Solve for x
    x = 4,699,955,729,164,785/45,969,909.75
  6. Step 6: Final answer
    x = 102,239,829.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.