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Finding the Third Proportional to 31,804,301 and 69,240,349

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Solution

The third proportional to 31,804,301 and 69,240,349 is: 150,741,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804,301 : 69,240,349 = 69,240,349 : x
  2. Step 2: Convert to fraction form
    31,804,301/69,240,349 = 69,240,349/x
  3. Step 3: Cross multiply
    31,804,301x = 69,240,349 × 69,240,349
  4. Step 4: Simplify right side
    31,804,301x = 4,794,225,929,641,801
  5. Step 5: Solve for x
    x = 4,794,225,929,641,801/31,804,301
  6. Step 6: Final answer
    x = 150,741,433.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.