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Finding the Third Proportional to 49,218,864 and 106,010,580

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Solution

The third proportional to 49,218,864 and 106,010,580 is: 228,332,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218,864 : 106,010,580 = 106,010,580 : x
  2. Step 2: Convert to fraction form
    49,218,864/106,010,580 = 106,010,580/x
  3. Step 3: Cross multiply
    49,218,864x = 106,010,580 × 106,010,580
  4. Step 4: Simplify right side
    49,218,864x = 11,238,243,071,936,400
  5. Step 5: Solve for x
    x = 11,238,243,071,936,400/49,218,864
  6. Step 6: Final answer
    x = 228,332,028.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.