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Finding the Third Proportional to 4,111,084.13 and 6,032,247.19

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Solution

The third proportional to 4,111,084.13 and 6,032,247.19 is: 8,851,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111,084.13 : 6,032,247.19 = 6,032,247.19 : x
  2. Step 2: Convert to fraction form
    4,111,084.13/6,032,247.19 = 6,032,247.19/x
  3. Step 3: Cross multiply
    4,111,084.13x = 6,032,247.19 × 6,032,247.19
  4. Step 4: Simplify right side
    4,111,084.13x = 36,388,006,131,101.66
  5. Step 5: Solve for x
    x = 36,388,006,131,101.66/4,111,084.13
  6. Step 6: Final answer
    x = 8,851,194.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.