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Finding the Third Proportional to 6,980,832 and 10,241,400

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Solution

The third proportional to 6,980,832 and 10,241,400 is: 15,024,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980,832 : 10,241,400 = 10,241,400 : x
  2. Step 2: Convert to fraction form
    6,980,832/10,241,400 = 10,241,400/x
  3. Step 3: Cross multiply
    6,980,832x = 10,241,400 × 10,241,400
  4. Step 4: Simplify right side
    6,980,832x = 104,886,273,960,000
  5. Step 5: Solve for x
    x = 104,886,273,960,000/6,980,832
  6. Step 6: Final answer
    x = 15,024,895.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.