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Finding the Third Proportional to 45,969,906.38 and 68,556,218.06

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Solution

The third proportional to 45,969,906.38 and 68,556,218.06 is: 102,239,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,969,906.38 : 68,556,218.06 = 68,556,218.06 : x
  2. Step 2: Convert to fraction form
    45,969,906.38/68,556,218.06 = 68,556,218.06/x
  3. Step 3: Cross multiply
    45,969,906.38x = 68,556,218.06 × 68,556,218.06
  4. Step 4: Simplify right side
    45,969,906.38x = 4,699,955,035,033,051
  5. Step 5: Solve for x
    x = 4,699,955,035,033,051/45,969,906.38
  6. Step 6: Final answer
    x = 102,239,821.78

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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.