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Finding the Third Proportional to 7,836,183 and 11,872,585.50

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Solution

The third proportional to 7,836,183 and 11,872,585.50 is: 17,988,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,183 : 11,872,585.50 = 11,872,585.50 : x
  2. Step 2: Convert to fraction form
    7,836,183/11,872,585.50 = 11,872,585.50/x
  3. Step 3: Cross multiply
    7,836,183x = 11,872,585.50 × 11,872,585.50
  4. Step 4: Simplify right side
    7,836,183x = 140,958,286,454,810.25
  5. Step 5: Solve for x
    x = 140,958,286,454,810.25/7,836,183
  6. Step 6: Final answer
    x = 17,988,131.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.