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Finding the Third Proportional to 27,465,057 and 41,551,069.50

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Solution

The third proportional to 27,465,057 and 41,551,069.50 is: 62,861,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465,057 : 41,551,069.50 = 41,551,069.50 : x
  2. Step 2: Convert to fraction form
    27,465,057/41,551,069.50 = 41,551,069.50/x
  3. Step 3: Cross multiply
    27,465,057x = 41,551,069.50 × 41,551,069.50
  4. Step 4: Simplify right side
    27,465,057x = 1,726,491,376,593,830.25
  5. Step 5: Solve for x
    x = 1,726,491,376,593,830.25/27,465,057
  6. Step 6: Final answer
    x = 62,861,379.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.