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Finding the Third Proportional to 14,143,600 and 30,962,144

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Solution

The third proportional to 14,143,600 and 30,962,144 is: 67,780,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143,600 : 30,962,144 = 30,962,144 : x
  2. Step 2: Convert to fraction form
    14,143,600/30,962,144 = 30,962,144/x
  3. Step 3: Cross multiply
    14,143,600x = 30,962,144 × 30,962,144
  4. Step 4: Simplify right side
    14,143,600x = 958,654,361,076,736
  5. Step 5: Solve for x
    x = 958,654,361,076,736/14,143,600
  6. Step 6: Final answer
    x = 67,780,081.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.