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Finding the Third Proportional to 35,769,983 and 77,482,390

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Solution

The third proportional to 35,769,983 and 77,482,390 is: 167,836,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,769,983 : 77,482,390 = 77,482,390 : x
  2. Step 2: Convert to fraction form
    35,769,983/77,482,390 = 77,482,390/x
  3. Step 3: Cross multiply
    35,769,983x = 77,482,390 × 77,482,390
  4. Step 4: Simplify right side
    35,769,983x = 6,003,520,760,112,100
  5. Step 5: Solve for x
    x = 6,003,520,760,112,100/35,769,983
  6. Step 6: Final answer
    x = 167,836,835.71

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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.