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Finding the Third Proportional to 35,794,976 and 77,561,920

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Solution

The third proportional to 35,794,976 and 77,561,920 is: 168,064,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794,976 : 77,561,920 = 77,561,920 : x
  2. Step 2: Convert to fraction form
    35,794,976/77,561,920 = 77,561,920/x
  3. Step 3: Cross multiply
    35,794,976x = 77,561,920 × 77,561,920
  4. Step 4: Simplify right side
    35,794,976x = 6,015,851,434,086,400
  5. Step 5: Solve for x
    x = 6,015,851,434,086,400/35,794,976
  6. Step 6: Final answer
    x = 168,064,128.16

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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.