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Finding the Third Proportional to 5,198,643 and 11,592,616.50

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Solution

The third proportional to 5,198,643 and 11,592,616.50 is: 25,850,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,643 : 11,592,616.50 = 11,592,616.50 : x
  2. Step 2: Convert to fraction form
    5,198,643/11,592,616.50 = 11,592,616.50/x
  3. Step 3: Cross multiply
    5,198,643x = 11,592,616.50 × 11,592,616.50
  4. Step 4: Simplify right side
    5,198,643x = 134,388,757,316,072.25
  5. Step 5: Solve for x
    x = 134,388,757,316,072.25/5,198,643
  6. Step 6: Final answer
    x = 25,850,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.