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Finding the Third Proportional to 6,750,116 and 14,782,408

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Solution

The third proportional to 6,750,116 and 14,782,408 is: 32,372,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750,116 : 14,782,408 = 14,782,408 : x
  2. Step 2: Convert to fraction form
    6,750,116/14,782,408 = 14,782,408/x
  3. Step 3: Cross multiply
    6,750,116x = 14,782,408 × 14,782,408
  4. Step 4: Simplify right side
    6,750,116x = 218,519,586,278,464
  5. Step 5: Solve for x
    x = 218,519,586,278,464/6,750,116
  6. Step 6: Final answer
    x = 32,372,715.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.