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Finding the Third Proportional to 51,309,360 and 106,864,416

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Solution

The third proportional to 51,309,360 and 106,864,416 is: 222,571,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309,360 : 106,864,416 = 106,864,416 : x
  2. Step 2: Convert to fraction form
    51,309,360/106,864,416 = 106,864,416/x
  3. Step 3: Cross multiply
    51,309,360x = 106,864,416 × 106,864,416
  4. Step 4: Simplify right side
    51,309,360x = 11,420,003,407,021,056
  5. Step 5: Solve for x
    x = 11,420,003,407,021,056/51,309,360
  6. Step 6: Final answer
    x = 222,571,542.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.