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Finding the Third Proportional to 77,744,452 and 179,983,306

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Solution

The third proportional to 77,744,452 and 179,983,306 is: 416,672,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744,452 : 179,983,306 = 179,983,306 : x
  2. Step 2: Convert to fraction form
    77,744,452/179,983,306 = 179,983,306/x
  3. Step 3: Cross multiply
    77,744,452x = 179,983,306 × 179,983,306
  4. Step 4: Simplify right side
    77,744,452x = 32,393,990,438,689,636
  5. Step 5: Solve for x
    x = 32,393,990,438,689,636/77,744,452
  6. Step 6: Final answer
    x = 416,672,696.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.