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Finding the Third Proportional to 5,895,976 and 12,693,968

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Solution

The third proportional to 5,895,976 and 12,693,968 is: 27,329,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895,976 : 12,693,968 = 12,693,968 : x
  2. Step 2: Convert to fraction form
    5,895,976/12,693,968 = 12,693,968/x
  3. Step 3: Cross multiply
    5,895,976x = 12,693,968 × 12,693,968
  4. Step 4: Simplify right side
    5,895,976x = 161,136,823,585,024
  5. Step 5: Solve for x
    x = 161,136,823,585,024/5,895,976
  6. Step 6: Final answer
    x = 27,329,965.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.