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Finding the Third Proportional to 6,791,532 and 9,655,938

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Solution

The third proportional to 6,791,532 and 9,655,938 is: 13,728,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791,532 : 9,655,938 = 9,655,938 : x
  2. Step 2: Convert to fraction form
    6,791,532/9,655,938 = 9,655,938/x
  3. Step 3: Cross multiply
    6,791,532x = 9,655,938 × 9,655,938
  4. Step 4: Simplify right side
    6,791,532x = 93,237,138,659,844
  5. Step 5: Solve for x
    x = 93,237,138,659,844/6,791,532
  6. Step 6: Final answer
    x = 13,728,439.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.