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Finding the Third Proportional to 35,993,646 and 77,449,597.88

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Solution

The third proportional to 35,993,646 and 77,449,597.88 is: 166,652,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993,646 : 77,449,597.88 = 77,449,597.88 : x
  2. Step 2: Convert to fraction form
    35,993,646/77,449,597.88 = 77,449,597.88/x
  3. Step 3: Cross multiply
    35,993,646x = 77,449,597.88 × 77,449,597.88
  4. Step 4: Simplify right side
    35,993,646x = 5,998,440,210,999,205
  5. Step 5: Solve for x
    x = 5,998,440,210,999,205/35,993,646
  6. Step 6: Final answer
    x = 166,652,753.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.