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Finding the Third Proportional to 6,813,606.94 and 10,472,982.75

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Solution

The third proportional to 6,813,606.94 and 10,472,982.75 is: 16,097,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813,606.94 : 10,472,982.75 = 10,472,982.75 : x
  2. Step 2: Convert to fraction form
    6,813,606.94/10,472,982.75 = 10,472,982.75/x
  3. Step 3: Cross multiply
    6,813,606.94x = 10,472,982.75 × 10,472,982.75
  4. Step 4: Simplify right side
    6,813,606.94x = 109,683,367,681,797.56
  5. Step 5: Solve for x
    x = 109,683,367,681,797.56/6,813,606.94
  6. Step 6: Final answer
    x = 16,097,695.20

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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.