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Finding the Third Proportional to 43,385,270 and 57,578,682

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Solution

The third proportional to 43,385,270 and 57,578,682 is: 76,415,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,385,270 : 57,578,682 = 57,578,682 : x
  2. Step 2: Convert to fraction form
    43,385,270/57,578,682 = 57,578,682/x
  3. Step 3: Cross multiply
    43,385,270x = 57,578,682 × 57,578,682
  4. Step 4: Simplify right side
    43,385,270x = 3,315,304,620,857,124
  5. Step 5: Solve for x
    x = 3,315,304,620,857,124/43,385,270
  6. Step 6: Final answer
    x = 76,415,442.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.