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Finding the Third Proportional to 4,159,200 and 8,937,408

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Solution

The third proportional to 4,159,200 and 8,937,408 is: 19,204,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159,200 : 8,937,408 = 8,937,408 : x
  2. Step 2: Convert to fraction form
    4,159,200/8,937,408 = 8,937,408/x
  3. Step 3: Cross multiply
    4,159,200x = 8,937,408 × 8,937,408
  4. Step 4: Simplify right side
    4,159,200x = 79,877,261,758,464
  5. Step 5: Solve for x
    x = 79,877,261,758,464/4,159,200
  6. Step 6: Final answer
    x = 19,204,958.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.