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Finding the Third Proportional to 6,176,736 and 9,313,712

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Solution

The third proportional to 6,176,736 and 9,313,712 is: 14,043,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176,736 : 9,313,712 = 9,313,712 : x
  2. Step 2: Convert to fraction form
    6,176,736/9,313,712 = 9,313,712/x
  3. Step 3: Cross multiply
    6,176,736x = 9,313,712 × 9,313,712
  4. Step 4: Simplify right side
    6,176,736x = 86,745,231,218,944
  5. Step 5: Solve for x
    x = 86,745,231,218,944/6,176,736
  6. Step 6: Final answer
    x = 14,043,862.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.