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Finding the Third Proportional to 71,539,966 and 154,964,780

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Solution

The third proportional to 71,539,966 and 154,964,780 is: 335,673,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,539,966 : 154,964,780 = 154,964,780 : x
  2. Step 2: Convert to fraction form
    71,539,966/154,964,780 = 154,964,780/x
  3. Step 3: Cross multiply
    71,539,966x = 154,964,780 × 154,964,780
  4. Step 4: Simplify right side
    71,539,966x = 24,014,083,040,448,400
  5. Step 5: Solve for x
    x = 24,014,083,040,448,400/71,539,966
  6. Step 6: Final answer
    x = 335,673,671.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.