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Finding the Third Proportional to 49,218,866 and 106,010,584

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Solution

The third proportional to 49,218,866 and 106,010,584 is: 228,332,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218,866 : 106,010,584 = 106,010,584 : x
  2. Step 2: Convert to fraction form
    49,218,866/106,010,584 = 106,010,584/x
  3. Step 3: Cross multiply
    49,218,866x = 106,010,584 × 106,010,584
  4. Step 4: Simplify right side
    49,218,866x = 11,238,243,920,021,056
  5. Step 5: Solve for x
    x = 11,238,243,920,021,056/49,218,866
  6. Step 6: Final answer
    x = 228,332,036.74

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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.