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Finding the Third Proportional to 4,575,648 and 9,948,096

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Solution

The third proportional to 4,575,648 and 9,948,096 is: 21,628,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575,648 : 9,948,096 = 9,948,096 : x
  2. Step 2: Convert to fraction form
    4,575,648/9,948,096 = 9,948,096/x
  3. Step 3: Cross multiply
    4,575,648x = 9,948,096 × 9,948,096
  4. Step 4: Simplify right side
    4,575,648x = 98,964,614,025,216
  5. Step 5: Solve for x
    x = 98,964,614,025,216/4,575,648
  6. Step 6: Final answer
    x = 21,628,546.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.