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Finding the Third Proportional to 14,120,864 and 30,481,216

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Solution

The third proportional to 14,120,864 and 30,481,216 is: 65,796,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120,864 : 30,481,216 = 30,481,216 : x
  2. Step 2: Convert to fraction form
    14,120,864/30,481,216 = 30,481,216/x
  3. Step 3: Cross multiply
    14,120,864x = 30,481,216 × 30,481,216
  4. Step 4: Simplify right side
    14,120,864x = 929,104,528,838,656
  5. Step 5: Solve for x
    x = 929,104,528,838,656/14,120,864
  6. Step 6: Final answer
    x = 65,796,577.95

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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.