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Finding the Third Proportional to 5,116,719 and 11,194,837.50

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Solution

The third proportional to 5,116,719 and 11,194,837.50 is: 24,493,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116,719 : 11,194,837.50 = 11,194,837.50 : x
  2. Step 2: Convert to fraction form
    5,116,719/11,194,837.50 = 11,194,837.50/x
  3. Step 3: Cross multiply
    5,116,719x = 11,194,837.50 × 11,194,837.50
  4. Step 4: Simplify right side
    5,116,719x = 125,324,386,651,406.25
  5. Step 5: Solve for x
    x = 125,324,386,651,406.25/5,116,719
  6. Step 6: Final answer
    x = 24,493,114.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.