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Finding the Third Proportional to 41,137,047 and 85,462,719.75

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Solution

The third proportional to 41,137,047 and 85,462,719.75 is: 177,549,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137,047 : 85,462,719.75 = 85,462,719.75 : x
  2. Step 2: Convert to fraction form
    41,137,047/85,462,719.75 = 85,462,719.75/x
  3. Step 3: Cross multiply
    41,137,047x = 85,462,719.75 × 85,462,719.75
  4. Step 4: Simplify right side
    41,137,047x = 7,303,876,467,067,040
  5. Step 5: Solve for x
    x = 7,303,876,467,067,040/41,137,047
  6. Step 6: Final answer
    x = 177,549,848.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.