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Finding the Third Proportional to 51,365,738 and 106,983,028

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Solution

The third proportional to 51,365,738 and 106,983,028 is: 222,821,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,365,738 : 106,983,028 = 106,983,028 : x
  2. Step 2: Convert to fraction form
    51,365,738/106,983,028 = 106,983,028/x
  3. Step 3: Cross multiply
    51,365,738x = 106,983,028 × 106,983,028
  4. Step 4: Simplify right side
    51,365,738x = 11,445,368,280,048,784
  5. Step 5: Solve for x
    x = 11,445,368,280,048,784/51,365,738
  6. Step 6: Final answer
    x = 222,821,061.78

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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.