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Finding the Third Proportional to 31,579,781 and 69,103,247

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Solution

The third proportional to 31,579,781 and 69,103,247 is: 151,212,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,579,781 : 69,103,247 = 69,103,247 : x
  2. Step 2: Convert to fraction form
    31,579,781/69,103,247 = 69,103,247/x
  3. Step 3: Cross multiply
    31,579,781x = 69,103,247 × 69,103,247
  4. Step 4: Simplify right side
    31,579,781x = 4,775,258,745,943,009
  5. Step 5: Solve for x
    x = 4,775,258,745,943,009/31,579,781
  6. Step 6: Final answer
    x = 151,212,535.20

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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.