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Finding the Third Proportional to 7,761,355.45 and 16,881,760.55

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Solution

The third proportional to 7,761,355.45 and 16,881,760.55 is: 36,719,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,355.45 : 16,881,760.55 = 16,881,760.55 : x
  2. Step 2: Convert to fraction form
    7,761,355.45/16,881,760.55 = 16,881,760.55/x
  3. Step 3: Cross multiply
    7,761,355.45x = 16,881,760.55 × 16,881,760.55
  4. Step 4: Simplify right side
    7,761,355.45x = 284,993,839,162,025.31
  5. Step 5: Solve for x
    x = 284,993,839,162,025.31/7,761,355.45
  6. Step 6: Final answer
    x = 36,719,596.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.