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Finding the Third Proportional to 3,033,718.31 and 6,499,229.91

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Solution

The third proportional to 3,033,718.31 and 6,499,229.91 is: 13,923,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033,718.31 : 6,499,229.91 = 6,499,229.91 : x
  2. Step 2: Convert to fraction form
    3,033,718.31/6,499,229.91 = 6,499,229.91/x
  3. Step 3: Cross multiply
    3,033,718.31x = 6,499,229.91 × 6,499,229.91
  4. Step 4: Simplify right side
    3,033,718.31x = 42,239,989,374,294.38
  5. Step 5: Solve for x
    x = 42,239,989,374,294.38/3,033,718.31
  6. Step 6: Final answer
    x = 13,923,504.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.