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Finding the Third Proportional to 65,751,999 and 142,948,483

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Solution

The third proportional to 65,751,999 and 142,948,483 is: 310,777,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751,999 : 142,948,483 = 142,948,483 : x
  2. Step 2: Convert to fraction form
    65,751,999/142,948,483 = 142,948,483/x
  3. Step 3: Cross multiply
    65,751,999x = 142,948,483 × 142,948,483
  4. Step 4: Simplify right side
    65,751,999x = 20,434,268,792,001,288
  5. Step 5: Solve for x
    x = 20,434,268,792,001,288/65,751,999
  6. Step 6: Final answer
    x = 310,777,909.46

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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.