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Finding the Third Proportional to 12,082,608 and 18,299,398.50

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Solution

The third proportional to 12,082,608 and 18,299,398.50 is: 27,714,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,608 : 18,299,398.50 = 18,299,398.50 : x
  2. Step 2: Convert to fraction form
    12,082,608/18,299,398.50 = 18,299,398.50/x
  3. Step 3: Cross multiply
    12,082,608x = 18,299,398.50 × 18,299,398.50
  4. Step 4: Simplify right side
    12,082,608x = 334,867,985,461,802.25
  5. Step 5: Solve for x
    x = 334,867,985,461,802.25/12,082,608
  6. Step 6: Final answer
    x = 27,714,876.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.