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Finding the Third Proportional to 4,106,868.75 and 6,384,310.31

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Solution

The third proportional to 4,106,868.75 and 6,384,310.31 is: 9,924,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106,868.75 : 6,384,310.31 = 6,384,310.31 : x
  2. Step 2: Convert to fraction form
    4,106,868.75/6,384,310.31 = 6,384,310.31/x
  3. Step 3: Cross multiply
    4,106,868.75x = 6,384,310.31 × 6,384,310.31
  4. Step 4: Simplify right side
    4,106,868.75x = 40,759,418,166,293.84
  5. Step 5: Solve for x
    x = 40,759,418,166,293.84/4,106,868.75
  6. Step 6: Final answer
    x = 9,924,694.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.