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Finding the Third Proportional to 6,377,340 and 9,684,112

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Solution

The third proportional to 6,377,340 and 9,684,112 is: 14,705,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377,340 : 9,684,112 = 9,684,112 : x
  2. Step 2: Convert to fraction form
    6,377,340/9,684,112 = 9,684,112/x
  3. Step 3: Cross multiply
    6,377,340x = 9,684,112 × 9,684,112
  4. Step 4: Simplify right side
    6,377,340x = 93,782,025,228,544
  5. Step 5: Solve for x
    x = 93,782,025,228,544/6,377,340
  6. Step 6: Final answer
    x = 14,705,508.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.