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Finding the Third Proportional to 42,770,239,486 and 89,060,290,057

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Solution

The third proportional to 42,770,239,486 and 89,060,290,057 is: 185,449,867,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770,239,486 : 89,060,290,057 = 89,060,290,057 : x
  2. Step 2: Convert to fraction form
    42,770,239,486/89,060,290,057 = 89,060,290,057/x
  3. Step 3: Cross multiply
    42,770,239,486x = 89,060,290,057 × 89,060,290,057
  4. Step 4: Simplify right side
    42,770,239,486x = 7,931,735,265,036,972,589,056
  5. Step 5: Solve for x
    x = 7,931,735,265,036,972,589,056/42,770,239,486
  6. Step 6: Final answer
    x = 185,449,867,953.94

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.