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Finding the Third Proportional to 37,800,478 and 80,782,323

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Solution

The third proportional to 37,800,478 and 80,782,323 is: 172,637,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,800,478 : 80,782,323 = 80,782,323 : x
  2. Step 2: Convert to fraction form
    37,800,478/80,782,323 = 80,782,323/x
  3. Step 3: Cross multiply
    37,800,478x = 80,782,323 × 80,782,323
  4. Step 4: Simplify right side
    37,800,478x = 6,525,783,709,276,329
  5. Step 5: Solve for x
    x = 6,525,783,709,276,329/37,800,478
  6. Step 6: Final answer
    x = 172,637,597.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.