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Finding the Third Proportional to 29,918,968 and 65,512,998

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Solution

The third proportional to 29,918,968 and 65,512,998 is: 143,452,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,918,968 : 65,512,998 = 65,512,998 : x
  2. Step 2: Convert to fraction form
    29,918,968/65,512,998 = 65,512,998/x
  3. Step 3: Cross multiply
    29,918,968x = 65,512,998 × 65,512,998
  4. Step 4: Simplify right side
    29,918,968x = 4,291,952,906,948,004
  5. Step 5: Solve for x
    x = 4,291,952,906,948,004/29,918,968
  6. Step 6: Final answer
    x = 143,452,571.86

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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.