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Finding the Third Proportional to 51,440,981 and 110,958,796

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Solution

The third proportional to 51,440,981 and 110,958,796 is: 239,339,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,440,981 : 110,958,796 = 110,958,796 : x
  2. Step 2: Convert to fraction form
    51,440,981/110,958,796 = 110,958,796/x
  3. Step 3: Cross multiply
    51,440,981x = 110,958,796 × 110,958,796
  4. Step 4: Simplify right side
    51,440,981x = 12,311,854,409,769,616
  5. Step 5: Solve for x
    x = 12,311,854,409,769,616/51,440,981
  6. Step 6: Final answer
    x = 239,339,417.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.