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Finding the Third Proportional to 3,142,112 and 6,895,936

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Solution

The third proportional to 3,142,112 and 6,895,936 is: 15,134,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,112 : 6,895,936 = 6,895,936 : x
  2. Step 2: Convert to fraction form
    3,142,112/6,895,936 = 6,895,936/x
  3. Step 3: Cross multiply
    3,142,112x = 6,895,936 × 6,895,936
  4. Step 4: Simplify right side
    3,142,112x = 47,553,933,316,096
  5. Step 5: Solve for x
    x = 47,553,933,316,096/3,142,112
  6. Step 6: Final answer
    x = 15,134,385.19

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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.