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Finding the Third Proportional to 6,802,343.14 and 14,800,385.81

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Solution

The third proportional to 6,802,343.14 and 14,800,385.81 is: 32,202,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,343.14 : 14,800,385.81 = 14,800,385.81 : x
  2. Step 2: Convert to fraction form
    6,802,343.14/14,800,385.81 = 14,800,385.81/x
  3. Step 3: Cross multiply
    6,802,343.14x = 14,800,385.81 × 14,800,385.81
  4. Step 4: Simplify right side
    6,802,343.14x = 219,051,420,198,851.28
  5. Step 5: Solve for x
    x = 219,051,420,198,851.28/6,802,343.14
  6. Step 6: Final answer
    x = 32,202,347.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.