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Finding the Third Proportional to 51,052,011 and 109,280,118

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Solution

The third proportional to 51,052,011 and 109,280,118 is: 233,921,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052,011 : 109,280,118 = 109,280,118 : x
  2. Step 2: Convert to fraction form
    51,052,011/109,280,118 = 109,280,118/x
  3. Step 3: Cross multiply
    51,052,011x = 109,280,118 × 109,280,118
  4. Step 4: Simplify right side
    51,052,011x = 11,942,144,190,093,924
  5. Step 5: Solve for x
    x = 11,942,144,190,093,924/51,052,011
  6. Step 6: Final answer
    x = 233,921,131.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.