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Finding the Third Proportional to 6,825,768 and 14,746,224

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Solution

The third proportional to 6,825,768 and 14,746,224 is: 31,857,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,768 : 14,746,224 = 14,746,224 : x
  2. Step 2: Convert to fraction form
    6,825,768/14,746,224 = 14,746,224/x
  3. Step 3: Cross multiply
    6,825,768x = 14,746,224 × 14,746,224
  4. Step 4: Simplify right side
    6,825,768x = 217,451,122,258,176
  5. Step 5: Solve for x
    x = 217,451,122,258,176/6,825,768
  6. Step 6: Final answer
    x = 31,857,385.46

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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.