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Finding the Third Proportional to 43,385,288 and 57,578,706

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Solution

The third proportional to 43,385,288 and 57,578,706 is: 76,415,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,385,288 : 57,578,706 = 57,578,706 : x
  2. Step 2: Convert to fraction form
    43,385,288/57,578,706 = 57,578,706/x
  3. Step 3: Cross multiply
    43,385,288x = 57,578,706 × 57,578,706
  4. Step 4: Simplify right side
    43,385,288x = 3,315,307,384,634,436
  5. Step 5: Solve for x
    x = 3,315,307,384,634,436/43,385,288
  6. Step 6: Final answer
    x = 76,415,474.86

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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.