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Finding the Third Proportional to 4,782,141 and 10,246,517.50

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Solution

The third proportional to 4,782,141 and 10,246,517.50 is: 21,954,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,141 : 10,246,517.50 = 10,246,517.50 : x
  2. Step 2: Convert to fraction form
    4,782,141/10,246,517.50 = 10,246,517.50/x
  3. Step 3: Cross multiply
    4,782,141x = 10,246,517.50 × 10,246,517.50
  4. Step 4: Simplify right side
    4,782,141x = 104,991,120,877,806.25
  5. Step 5: Solve for x
    x = 104,991,120,877,806.25/4,782,141
  6. Step 6: Final answer
    x = 21,954,835.89

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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.