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Finding the Third Proportional to 5,198,688 and 11,592,693

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Solution

The third proportional to 5,198,688 and 11,592,693 is: 25,850,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,688 : 11,592,693 = 11,592,693 : x
  2. Step 2: Convert to fraction form
    5,198,688/11,592,693 = 11,592,693/x
  3. Step 3: Cross multiply
    5,198,688x = 11,592,693 × 11,592,693
  4. Step 4: Simplify right side
    5,198,688x = 134,390,530,992,249
  5. Step 5: Solve for x
    x = 134,390,530,992,249/5,198,688
  6. Step 6: Final answer
    x = 25,850,855.25

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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.