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Finding the Third Proportional to 36,073,816 and 77,255,360

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Solution

The third proportional to 36,073,816 and 77,255,360 is: 165,449,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,073,816 : 77,255,360 = 77,255,360 : x
  2. Step 2: Convert to fraction form
    36,073,816/77,255,360 = 77,255,360/x
  3. Step 3: Cross multiply
    36,073,816x = 77,255,360 × 77,255,360
  4. Step 4: Simplify right side
    36,073,816x = 5,968,390,648,729,600
  5. Step 5: Solve for x
    x = 5,968,390,648,729,600/36,073,816
  6. Step 6: Final answer
    x = 165,449,384.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.