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Finding the Third Proportional to 65,591,794 and 143,539,642

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Solution

The third proportional to 65,591,794 and 143,539,642 is: 314,119,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,591,794 : 143,539,642 = 143,539,642 : x
  2. Step 2: Convert to fraction form
    65,591,794/143,539,642 = 143,539,642/x
  3. Step 3: Cross multiply
    65,591,794x = 143,539,642 × 143,539,642
  4. Step 4: Simplify right side
    65,591,794x = 20,603,628,825,488,164
  5. Step 5: Solve for x
    x = 20,603,628,825,488,164/65,591,794
  6. Step 6: Final answer
    x = 314,119,001.31

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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.