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Finding the Third Proportional to 45,267,760 and 71,797,470

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Solution

The third proportional to 45,267,760 and 71,797,470 is: 113,875,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,267,760 : 71,797,470 = 71,797,470 : x
  2. Step 2: Convert to fraction form
    45,267,760/71,797,470 = 71,797,470/x
  3. Step 3: Cross multiply
    45,267,760x = 71,797,470 × 71,797,470
  4. Step 4: Simplify right side
    45,267,760x = 5,154,876,698,400,900
  5. Step 5: Solve for x
    x = 5,154,876,698,400,900/45,267,760
  6. Step 6: Final answer
    x = 113,875,232.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.