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Finding the Third Proportional to 8,201,688 and 19,162,848

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Solution

The third proportional to 8,201,688 and 19,162,848 is: 44,773,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201,688 : 19,162,848 = 19,162,848 : x
  2. Step 2: Convert to fraction form
    8,201,688/19,162,848 = 19,162,848/x
  3. Step 3: Cross multiply
    8,201,688x = 19,162,848 × 19,162,848
  4. Step 4: Simplify right side
    8,201,688x = 367,214,743,471,104
  5. Step 5: Solve for x
    x = 367,214,743,471,104/8,201,688
  6. Step 6: Final answer
    x = 44,773,069.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.