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Finding the Third Proportional to 5,335,800 and 11,683,536

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Solution

The third proportional to 5,335,800 and 11,683,536 is: 25,582,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335,800 : 11,683,536 = 11,683,536 : x
  2. Step 2: Convert to fraction form
    5,335,800/11,683,536 = 11,683,536/x
  3. Step 3: Cross multiply
    5,335,800x = 11,683,536 × 11,683,536
  4. Step 4: Simplify right side
    5,335,800x = 136,505,013,463,296
  5. Step 5: Solve for x
    x = 136,505,013,463,296/5,335,800
  6. Step 6: Final answer
    x = 25,582,857.95

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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.