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Finding the Third Proportional to 35,769,978 and 77,482,381

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Solution

The third proportional to 35,769,978 and 77,482,381 is: 167,836,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,769,978 : 77,482,381 = 77,482,381 : x
  2. Step 2: Convert to fraction form
    35,769,978/77,482,381 = 77,482,381/x
  3. Step 3: Cross multiply
    35,769,978x = 77,482,381 × 77,482,381
  4. Step 4: Simplify right side
    35,769,978x = 6,003,519,365,429,161
  5. Step 5: Solve for x
    x = 6,003,519,365,429,161/35,769,978
  6. Step 6: Final answer
    x = 167,836,820.18

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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.