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Finding the Third Proportional to 3,156,296 and 6,903,214

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Solution

The third proportional to 3,156,296 and 6,903,214 is: 15,098,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,296 : 6,903,214 = 6,903,214 : x
  2. Step 2: Convert to fraction form
    3,156,296/6,903,214 = 6,903,214/x
  3. Step 3: Cross multiply
    3,156,296x = 6,903,214 × 6,903,214
  4. Step 4: Simplify right side
    3,156,296x = 47,654,363,529,796
  5. Step 5: Solve for x
    x = 47,654,363,529,796/3,156,296
  6. Step 6: Final answer
    x = 15,098,192.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.