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Finding the Third Proportional to 31,984,150 and 46,776,669

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Solution

The third proportional to 31,984,150 and 46,776,669 is: 68,410,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,150 : 46,776,669 = 46,776,669 : x
  2. Step 2: Convert to fraction form
    31,984,150/46,776,669 = 46,776,669/x
  3. Step 3: Cross multiply
    31,984,150x = 46,776,669 × 46,776,669
  4. Step 4: Simplify right side
    31,984,150x = 2,188,056,762,735,561
  5. Step 5: Solve for x
    x = 2,188,056,762,735,561/31,984,150
  6. Step 6: Final answer
    x = 68,410,658.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.