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Finding the Third Proportional to 71,520,849 and 107,805,333

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Solution

The third proportional to 71,520,849 and 107,805,333 is: 162,497,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,520,849 : 107,805,333 = 107,805,333 : x
  2. Step 2: Convert to fraction form
    71,520,849/107,805,333 = 107,805,333/x
  3. Step 3: Cross multiply
    71,520,849x = 107,805,333 × 107,805,333
  4. Step 4: Simplify right side
    71,520,849x = 11,621,989,823,240,888
  5. Step 5: Solve for x
    x = 11,621,989,823,240,888/71,520,849
  6. Step 6: Final answer
    x = 162,497,928.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.