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Finding the Third Proportional to 42,633,195 and 64,747,671

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Solution

The third proportional to 42,633,195 and 64,747,671 is: 98,333,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,633,195 : 64,747,671 = 64,747,671 : x
  2. Step 2: Convert to fraction form
    42,633,195/64,747,671 = 64,747,671/x
  3. Step 3: Cross multiply
    42,633,195x = 64,747,671 × 64,747,671
  4. Step 4: Simplify right side
    42,633,195x = 4,192,260,899,924,241
  5. Step 5: Solve for x
    x = 4,192,260,899,924,241/42,633,195
  6. Step 6: Final answer
    x = 98,333,256.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.