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Finding the Third Proportional to 2,947,114.13 and 6,342,411.38

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Solution

The third proportional to 2,947,114.13 and 6,342,411.38 is: 13,649,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,114.13 : 6,342,411.38 = 6,342,411.38 : x
  2. Step 2: Convert to fraction form
    2,947,114.13/6,342,411.38 = 6,342,411.38/x
  3. Step 3: Cross multiply
    2,947,114.13x = 6,342,411.38 × 6,342,411.38
  4. Step 4: Simplify right side
    2,947,114.13x = 40,226,182,049,729.39
  5. Step 5: Solve for x
    x = 40,226,182,049,729.39/2,947,114.13
  6. Step 6: Final answer
    x = 13,649,346.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.