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Finding the Third Proportional to 13,647,240 and 29,184,048

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Solution

The third proportional to 13,647,240 and 29,184,048 is: 62,408,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647,240 : 29,184,048 = 29,184,048 : x
  2. Step 2: Convert to fraction form
    13,647,240/29,184,048 = 29,184,048/x
  3. Step 3: Cross multiply
    13,647,240x = 29,184,048 × 29,184,048
  4. Step 4: Simplify right side
    13,647,240x = 851,708,657,666,304
  5. Step 5: Solve for x
    x = 851,708,657,666,304/13,647,240
  6. Step 6: Final answer
    x = 62,408,857.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.