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Finding the Third Proportional to 29,097,189 and 48,493,359

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Solution

The third proportional to 29,097,189 and 48,493,359 is: 80,819,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097,189 : 48,493,359 = 48,493,359 : x
  2. Step 2: Convert to fraction form
    29,097,189/48,493,359 = 48,493,359/x
  3. Step 3: Cross multiply
    29,097,189x = 48,493,359 × 48,493,359
  4. Step 4: Simplify right side
    29,097,189x = 2,351,605,867,102,881
  5. Step 5: Solve for x
    x = 2,351,605,867,102,881/29,097,189
  6. Step 6: Final answer
    x = 80,819,005.13

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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.