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Finding the Third Proportional to 41,494,410.75 and 66,670,210.13

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Solution

The third proportional to 41,494,410.75 and 66,670,210.13 is: 107,120,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,494,410.75 : 66,670,210.13 = 66,670,210.13 : x
  2. Step 2: Convert to fraction form
    41,494,410.75/66,670,210.13 = 66,670,210.13/x
  3. Step 3: Cross multiply
    41,494,410.75x = 66,670,210.13 × 66,670,210.13
  4. Step 4: Simplify right side
    41,494,410.75x = 4,444,916,918,111,652.50
  5. Step 5: Solve for x
    x = 4,444,916,918,111,652.50/41,494,410.75
  6. Step 6: Final answer
    x = 107,120,858.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.