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Finding the Third Proportional to 4,214,268 and 9,102,456

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Solution

The third proportional to 4,214,268 and 9,102,456 is: 19,660,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214,268 : 9,102,456 = 9,102,456 : x
  2. Step 2: Convert to fraction form
    4,214,268/9,102,456 = 9,102,456/x
  3. Step 3: Cross multiply
    4,214,268x = 9,102,456 × 9,102,456
  4. Step 4: Simplify right side
    4,214,268x = 82,854,705,231,936
  5. Step 5: Solve for x
    x = 82,854,705,231,936/4,214,268
  6. Step 6: Final answer
    x = 19,660,521.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.