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Finding the Third Proportional to 6,802,374.50 and 14,800,442.50

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Solution

The third proportional to 6,802,374.50 and 14,800,442.50 is: 32,202,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,374.50 : 14,800,442.50 = 14,800,442.50 : x
  2. Step 2: Convert to fraction form
    6,802,374.50/14,800,442.50 = 14,800,442.50/x
  3. Step 3: Cross multiply
    6,802,374.50x = 14,800,442.50 × 14,800,442.50
  4. Step 4: Simplify right side
    6,802,374.50x = 219,053,098,195,806.25
  5. Step 5: Solve for x
    x = 219,053,098,195,806.25/6,802,374.50
  6. Step 6: Final answer
    x = 32,202,446.10

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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.