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Finding the Third Proportional to 6,813,568.13 and 10,472,940.56

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Solution

The third proportional to 6,813,568.13 and 10,472,940.56 is: 16,097,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813,568.13 : 10,472,940.56 = 10,472,940.56 : x
  2. Step 2: Convert to fraction form
    6,813,568.13/10,472,940.56 = 10,472,940.56/x
  3. Step 3: Cross multiply
    6,813,568.13x = 10,472,940.56 × 10,472,940.56
  4. Step 4: Simplify right side
    6,813,568.13x = 109,682,484,025,657.81
  5. Step 5: Solve for x
    x = 109,682,484,025,657.81/6,813,568.13
  6. Step 6: Final answer
    x = 16,097,657.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.