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Finding the Third Proportional to 3,837,870 and 7,947,468

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Solution

The third proportional to 3,837,870 and 7,947,468 is: 16,457,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,870 : 7,947,468 = 7,947,468 : x
  2. Step 2: Convert to fraction form
    3,837,870/7,947,468 = 7,947,468/x
  3. Step 3: Cross multiply
    3,837,870x = 7,947,468 × 7,947,468
  4. Step 4: Simplify right side
    3,837,870x = 63,162,247,611,024
  5. Step 5: Solve for x
    x = 63,162,247,611,024/3,837,870
  6. Step 6: Final answer
    x = 16,457,630.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.