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Finding the Third Proportional to 4,489,920 and 9,849,096

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Solution

The third proportional to 4,489,920 and 9,849,096 is: 21,604,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,920 : 9,849,096 = 9,849,096 : x
  2. Step 2: Convert to fraction form
    4,489,920/9,849,096 = 9,849,096/x
  3. Step 3: Cross multiply
    4,489,920x = 9,849,096 × 9,849,096
  4. Step 4: Simplify right side
    4,489,920x = 97,004,692,017,216
  5. Step 5: Solve for x
    x = 97,004,692,017,216/4,489,920
  6. Step 6: Final answer
    x = 21,604,993.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.