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Finding the Third Proportional to 65,621,016 and 143,593,884

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Solution

The third proportional to 65,621,016 and 143,593,884 is: 314,216,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,621,016 : 143,593,884 = 143,593,884 : x
  2. Step 2: Convert to fraction form
    65,621,016/143,593,884 = 143,593,884/x
  3. Step 3: Cross multiply
    65,621,016x = 143,593,884 × 143,593,884
  4. Step 4: Simplify right side
    65,621,016x = 20,619,203,522,205,456
  5. Step 5: Solve for x
    x = 20,619,203,522,205,456/65,621,016
  6. Step 6: Final answer
    x = 314,216,462.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.