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Finding the Third Proportional to 6,826,324 and 14,624,216

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Solution

The third proportional to 6,826,324 and 14,624,216 is: 31,329,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,324 : 14,624,216 = 14,624,216 : x
  2. Step 2: Convert to fraction form
    6,826,324/14,624,216 = 14,624,216/x
  3. Step 3: Cross multiply
    6,826,324x = 14,624,216 × 14,624,216
  4. Step 4: Simplify right side
    6,826,324x = 213,867,693,614,656
  5. Step 5: Solve for x
    x = 213,867,693,614,656/6,826,324
  6. Step 6: Final answer
    x = 31,329,848.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.