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Finding the Third Proportional to 42,677,119.13 and 66,204,865.69

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Solution

The third proportional to 42,677,119.13 and 66,204,865.69 is: 102,703,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,677,119.13 : 66,204,865.69 = 66,204,865.69 : x
  2. Step 2: Convert to fraction form
    42,677,119.13/66,204,865.69 = 66,204,865.69/x
  3. Step 3: Cross multiply
    42,677,119.13x = 66,204,865.69 × 66,204,865.69
  4. Step 4: Simplify right side
    42,677,119.13x = 4,383,084,240,699,915
  5. Step 5: Solve for x
    x = 4,383,084,240,699,915/42,677,119.13
  6. Step 6: Final answer
    x = 102,703,376.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.