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Finding the Third Proportional to 3,669,194 and 7,782,349

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Solution

The third proportional to 3,669,194 and 7,782,349 is: 16,506,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,194 : 7,782,349 = 7,782,349 : x
  2. Step 2: Convert to fraction form
    3,669,194/7,782,349 = 7,782,349/x
  3. Step 3: Cross multiply
    3,669,194x = 7,782,349 × 7,782,349
  4. Step 4: Simplify right side
    3,669,194x = 60,564,955,957,801
  5. Step 5: Solve for x
    x = 60,564,955,957,801/3,669,194
  6. Step 6: Final answer
    x = 16,506,337.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.