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Finding the Third Proportional to 6,527,034 and 9,175,275

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Solution

The third proportional to 6,527,034 and 9,175,275 is: 12,897,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527,034 : 9,175,275 = 9,175,275 : x
  2. Step 2: Convert to fraction form
    6,527,034/9,175,275 = 9,175,275/x
  3. Step 3: Cross multiply
    6,527,034x = 9,175,275 × 9,175,275
  4. Step 4: Simplify right side
    6,527,034x = 84,185,671,325,625
  5. Step 5: Solve for x
    x = 84,185,671,325,625/6,527,034
  6. Step 6: Final answer
    x = 12,897,997.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.