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Finding the Third Proportional to 35,399,027 and 77,027,710

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Solution

The third proportional to 35,399,027 and 77,027,710 is: 167,611,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,399,027 : 77,027,710 = 77,027,710 : x
  2. Step 2: Convert to fraction form
    35,399,027/77,027,710 = 77,027,710/x
  3. Step 3: Cross multiply
    35,399,027x = 77,027,710 × 77,027,710
  4. Step 4: Simplify right side
    35,399,027x = 5,933,268,107,844,100
  5. Step 5: Solve for x
    x = 5,933,268,107,844,100/35,399,027
  6. Step 6: Final answer
    x = 167,611,050.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.