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Finding the Third Proportional to 6,475,680 and 9,503,568

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Solution

The third proportional to 6,475,680 and 9,503,568 is: 13,947,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,680 : 9,503,568 = 9,503,568 : x
  2. Step 2: Convert to fraction form
    6,475,680/9,503,568 = 9,503,568/x
  3. Step 3: Cross multiply
    6,475,680x = 9,503,568 × 9,503,568
  4. Step 4: Simplify right side
    6,475,680x = 90,317,804,730,624
  5. Step 5: Solve for x
    x = 90,317,804,730,624/6,475,680
  6. Step 6: Final answer
    x = 13,947,230.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.