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Finding the Third Proportional to 3,138,571.13 and 6,653,832.75

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Solution

The third proportional to 3,138,571.13 and 6,653,832.75 is: 14,106,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,571.13 : 6,653,832.75 = 6,653,832.75 : x
  2. Step 2: Convert to fraction form
    3,138,571.13/6,653,832.75 = 6,653,832.75/x
  3. Step 3: Cross multiply
    3,138,571.13x = 6,653,832.75 × 6,653,832.75
  4. Step 4: Simplify right side
    3,138,571.13x = 44,273,490,264,972.56
  5. Step 5: Solve for x
    x = 44,273,490,264,972.56/3,138,571.13
  6. Step 6: Final answer
    x = 14,106,256.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.