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Finding the Third Proportional to 10,158,422.50 and 21,694,533.50

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Solution

The third proportional to 10,158,422.50 and 21,694,533.50 is: 46,331,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158,422.50 : 21,694,533.50 = 21,694,533.50 : x
  2. Step 2: Convert to fraction form
    10,158,422.50/21,694,533.50 = 21,694,533.50/x
  3. Step 3: Cross multiply
    10,158,422.50x = 21,694,533.50 × 21,694,533.50
  4. Step 4: Simplify right side
    10,158,422.50x = 470,652,783,782,622.25
  5. Step 5: Solve for x
    x = 470,652,783,782,622.25/10,158,422.50
  6. Step 6: Final answer
    x = 46,331,286.55

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