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Finding the Third Proportional to 6,269,730 and 9,380,295

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Solution

The third proportional to 6,269,730 and 9,380,295 is: 14,034,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269,730 : 9,380,295 = 9,380,295 : x
  2. Step 2: Convert to fraction form
    6,269,730/9,380,295 = 9,380,295/x
  3. Step 3: Cross multiply
    6,269,730x = 9,380,295 × 9,380,295
  4. Step 4: Simplify right side
    6,269,730x = 87,989,934,287,025
  5. Step 5: Solve for x
    x = 87,989,934,287,025/6,269,730
  6. Step 6: Final answer
    x = 14,034,086.68

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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.