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Finding the Third Proportional to 46,906,624 and 71,754,912

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Solution

The third proportional to 46,906,624 and 71,754,912 is: 109,766,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906,624 : 71,754,912 = 71,754,912 : x
  2. Step 2: Convert to fraction form
    46,906,624/71,754,912 = 71,754,912/x
  3. Step 3: Cross multiply
    46,906,624x = 71,754,912 × 71,754,912
  4. Step 4: Simplify right side
    46,906,624x = 5,148,767,396,127,744
  5. Step 5: Solve for x
    x = 5,148,767,396,127,744/46,906,624
  6. Step 6: Final answer
    x = 109,766,317.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.