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Finding the Third Proportional to 14,012,768 and 30,186,400

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Solution

The third proportional to 14,012,768 and 30,186,400 is: 65,027,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012,768 : 30,186,400 = 30,186,400 : x
  2. Step 2: Convert to fraction form
    14,012,768/30,186,400 = 30,186,400/x
  3. Step 3: Cross multiply
    14,012,768x = 30,186,400 × 30,186,400
  4. Step 4: Simplify right side
    14,012,768x = 911,218,744,960,000
  5. Step 5: Solve for x
    x = 911,218,744,960,000/14,012,768
  6. Step 6: Final answer
    x = 65,027,747.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.