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Finding the Third Proportional to 34,361,415 and 48,064,893.75

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Solution

The third proportional to 34,361,415 and 48,064,893.75 is: 67,233,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,361,415 : 48,064,893.75 = 48,064,893.75 : x
  2. Step 2: Convert to fraction form
    34,361,415/48,064,893.75 = 48,064,893.75/x
  3. Step 3: Cross multiply
    34,361,415x = 48,064,893.75 × 48,064,893.75
  4. Step 4: Simplify right side
    34,361,415x = 2,310,234,011,198,789
  5. Step 5: Solve for x
    x = 2,310,234,011,198,789/34,361,415
  6. Step 6: Final answer
    x = 67,233,378.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.