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Finding the Third Proportional to 52,241,696 and 121,992,908

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Solution

The third proportional to 52,241,696 and 121,992,908 is: 284,873,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,241,696 : 121,992,908 = 121,992,908 : x
  2. Step 2: Convert to fraction form
    52,241,696/121,992,908 = 121,992,908/x
  3. Step 3: Cross multiply
    52,241,696x = 121,992,908 × 121,992,908
  4. Step 4: Simplify right side
    52,241,696x = 14,882,269,602,296,464
  5. Step 5: Solve for x
    x = 14,882,269,602,296,464/52,241,696
  6. Step 6: Final answer
    x = 284,873,400.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.