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Finding the Third Proportional to 6,755,511.38 and 10,456,396.31

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Solution

The third proportional to 6,755,511.38 and 10,456,396.31 is: 16,184,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755,511.38 : 10,456,396.31 = 10,456,396.31 : x
  2. Step 2: Convert to fraction form
    6,755,511.38/10,456,396.31 = 10,456,396.31/x
  3. Step 3: Cross multiply
    6,755,511.38x = 10,456,396.31 × 10,456,396.31
  4. Step 4: Simplify right side
    6,755,511.38x = 109,336,223,844,063.59
  5. Step 5: Solve for x
    x = 109,336,223,844,063.59/6,755,511.38
  6. Step 6: Final answer
    x = 16,184,744.24

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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.