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Finding the Third Proportional to 66,188,946 and 144,295,626

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Solution

The third proportional to 66,188,946 and 144,295,626 is: 314,572,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,188,946 : 144,295,626 = 144,295,626 : x
  2. Step 2: Convert to fraction form
    66,188,946/144,295,626 = 144,295,626/x
  3. Step 3: Cross multiply
    66,188,946x = 144,295,626 × 144,295,626
  4. Step 4: Simplify right side
    66,188,946x = 20,821,227,682,731,876
  5. Step 5: Solve for x
    x = 20,821,227,682,731,876/66,188,946
  6. Step 6: Final answer
    x = 314,572,582.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.