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Finding the Third Proportional to 7,385,340 and 11,866,185

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Solution

The third proportional to 7,385,340 and 11,866,185 is: 19,065,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385,340 : 11,866,185 = 11,866,185 : x
  2. Step 2: Convert to fraction form
    7,385,340/11,866,185 = 11,866,185/x
  3. Step 3: Cross multiply
    7,385,340x = 11,866,185 × 11,866,185
  4. Step 4: Simplify right side
    7,385,340x = 140,806,346,454,225
  5. Step 5: Solve for x
    x = 140,806,346,454,225/7,385,340
  6. Step 6: Final answer
    x = 19,065,655.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.