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Finding the Third Proportional to 41,369,677.75 and 66,657,571.13

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Solution

The third proportional to 41,369,677.75 and 66,657,571.13 is: 107,403,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,369,677.75 : 66,657,571.13 = 66,657,571.13 : x
  2. Step 2: Convert to fraction form
    41,369,677.75/66,657,571.13 = 66,657,571.13/x
  3. Step 3: Cross multiply
    41,369,677.75x = 66,657,571.13 × 66,657,571.13
  4. Step 4: Simplify right side
    41,369,677.75x = 4,443,231,788,284,434
  5. Step 5: Solve for x
    x = 4,443,231,788,284,434/41,369,677.75
  6. Step 6: Final answer
    x = 107,403,103.67

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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.