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Finding the Third Proportional to 3,139,670 and 6,781,214

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Solution

The third proportional to 3,139,670 and 6,781,214 is: 14,646,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139,670 : 6,781,214 = 6,781,214 : x
  2. Step 2: Convert to fraction form
    3,139,670/6,781,214 = 6,781,214/x
  3. Step 3: Cross multiply
    3,139,670x = 6,781,214 × 6,781,214
  4. Step 4: Simplify right side
    3,139,670x = 45,984,863,313,796
  5. Step 5: Solve for x
    x = 45,984,863,313,796/3,139,670
  6. Step 6: Final answer
    x = 14,646,400.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.