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Finding the Third Proportional to 6,644,045.25 and 9,500,965.88

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Solution

The third proportional to 6,644,045.25 and 9,500,965.88 is: 13,586,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644,045.25 : 9,500,965.88 = 9,500,965.88 : x
  2. Step 2: Convert to fraction form
    6,644,045.25/9,500,965.88 = 9,500,965.88/x
  3. Step 3: Cross multiply
    6,644,045.25x = 9,500,965.88 × 9,500,965.88
  4. Step 4: Simplify right side
    6,644,045.25x = 90,268,352,557,914.52
  5. Step 5: Solve for x
    x = 90,268,352,557,914.52/6,644,045.25
  6. Step 6: Final answer
    x = 13,586,354.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.