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Finding the Third Proportional to 49,110,457 and 106,939,866

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Solution

The third proportional to 49,110,457 and 106,939,866 is: 232,865,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,110,457 : 106,939,866 = 106,939,866 : x
  2. Step 2: Convert to fraction form
    49,110,457/106,939,866 = 106,939,866/x
  3. Step 3: Cross multiply
    49,110,457x = 106,939,866 × 106,939,866
  4. Step 4: Simplify right side
    49,110,457x = 11,436,134,940,097,956
  5. Step 5: Solve for x
    x = 11,436,134,940,097,956/49,110,457
  6. Step 6: Final answer
    x = 232,865,577.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.