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Finding the Third Proportional to 3,163,776 and 6,825,216

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Solution

The third proportional to 3,163,776 and 6,825,216 is: 14,724,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,776 : 6,825,216 = 6,825,216 : x
  2. Step 2: Convert to fraction form
    3,163,776/6,825,216 = 6,825,216/x
  3. Step 3: Cross multiply
    3,163,776x = 6,825,216 × 6,825,216
  4. Step 4: Simplify right side
    3,163,776x = 46,583,573,446,656
  5. Step 5: Solve for x
    x = 46,583,573,446,656/3,163,776
  6. Step 6: Final answer
    x = 14,724,042.87

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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.