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Finding the Third Proportional to 6,633,981 and 14,190,199.50

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Solution

The third proportional to 6,633,981 and 14,190,199.50 is: 30,353,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,981 : 14,190,199.50 = 14,190,199.50 : x
  2. Step 2: Convert to fraction form
    6,633,981/14,190,199.50 = 14,190,199.50/x
  3. Step 3: Cross multiply
    6,633,981x = 14,190,199.50 × 14,190,199.50
  4. Step 4: Simplify right side
    6,633,981x = 201,361,761,849,800.25
  5. Step 5: Solve for x
    x = 201,361,761,849,800.25/6,633,981
  6. Step 6: Final answer
    x = 30,353,080.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.