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Finding the Third Proportional to 19,781,296 and 41,688,031

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Solution

The third proportional to 19,781,296 and 41,688,031 is: 87,855,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781,296 : 41,688,031 = 41,688,031 : x
  2. Step 2: Convert to fraction form
    19,781,296/41,688,031 = 41,688,031/x
  3. Step 3: Cross multiply
    19,781,296x = 41,688,031 × 41,688,031
  4. Step 4: Simplify right side
    19,781,296x = 1,737,891,928,656,961
  5. Step 5: Solve for x
    x = 1,737,891,928,656,961/19,781,296
  6. Step 6: Final answer
    x = 87,855,311.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.