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Finding the Third Proportional to 6,857,500 and 9,340,235

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Solution

The third proportional to 6,857,500 and 9,340,235 is: 12,721,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,500 : 9,340,235 = 9,340,235 : x
  2. Step 2: Convert to fraction form
    6,857,500/9,340,235 = 9,340,235/x
  3. Step 3: Cross multiply
    6,857,500x = 9,340,235 × 9,340,235
  4. Step 4: Simplify right side
    6,857,500x = 87,239,989,855,225
  5. Step 5: Solve for x
    x = 87,239,989,855,225/6,857,500
  6. Step 6: Final answer
    x = 12,721,835.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.