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Finding the Third Proportional to 5,580,991.13 and 8,371,517.06

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Solution

The third proportional to 5,580,991.13 and 8,371,517.06 is: 12,557,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580,991.13 : 8,371,517.06 = 8,371,517.06 : x
  2. Step 2: Convert to fraction form
    5,580,991.13/8,371,517.06 = 8,371,517.06/x
  3. Step 3: Cross multiply
    5,580,991.13x = 8,371,517.06 × 8,371,517.06
  4. Step 4: Simplify right side
    5,580,991.13x = 70,082,297,927,728.62
  5. Step 5: Solve for x
    x = 70,082,297,927,728.62/5,580,991.13
  6. Step 6: Final answer
    x = 12,557,321.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.