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Finding the Third Proportional to 29,097,197 and 48,493,371

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Solution

The third proportional to 29,097,197 and 48,493,371 is: 80,819,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097,197 : 48,493,371 = 48,493,371 : x
  2. Step 2: Convert to fraction form
    29,097,197/48,493,371 = 48,493,371/x
  3. Step 3: Cross multiply
    29,097,197x = 48,493,371 × 48,493,371
  4. Step 4: Simplify right side
    29,097,197x = 2,351,607,030,943,641
  5. Step 5: Solve for x
    x = 2,351,607,030,943,641/29,097,197
  6. Step 6: Final answer
    x = 80,819,022.91

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.