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Finding the Third Proportional to 66,670,827 and 100,183,740.75

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Solution

The third proportional to 66,670,827 and 100,183,740.75 is: 150,542,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,670,827 : 100,183,740.75 = 100,183,740.75 : x
  2. Step 2: Convert to fraction form
    66,670,827/100,183,740.75 = 100,183,740.75/x
  3. Step 3: Cross multiply
    66,670,827x = 100,183,740.75 × 100,183,740.75
  4. Step 4: Simplify right side
    66,670,827x = 10,036,781,910,663,210
  5. Step 5: Solve for x
    x = 10,036,781,910,663,210/66,670,827
  6. Step 6: Final answer
    x = 150,542,334.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.