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Finding the Third Proportional to 6,345,740 and 9,532,677

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Solution

The third proportional to 6,345,740 and 9,532,677 is: 14,320,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,740 : 9,532,677 = 9,532,677 : x
  2. Step 2: Convert to fraction form
    6,345,740/9,532,677 = 9,532,677/x
  3. Step 3: Cross multiply
    6,345,740x = 9,532,677 × 9,532,677
  4. Step 4: Simplify right side
    6,345,740x = 90,871,930,786,329
  5. Step 5: Solve for x
    x = 90,871,930,786,329/6,345,740
  6. Step 6: Final answer
    x = 14,320,147.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.