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Finding the Third Proportional to 49,083,039 and 106,784,910

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Solution

The third proportional to 49,083,039 and 106,784,910 is: 232,320,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,083,039 : 106,784,910 = 106,784,910 : x
  2. Step 2: Convert to fraction form
    49,083,039/106,784,910 = 106,784,910/x
  3. Step 3: Cross multiply
    49,083,039x = 106,784,910 × 106,784,910
  4. Step 4: Simplify right side
    49,083,039x = 11,403,017,003,708,100
  5. Step 5: Solve for x
    x = 11,403,017,003,708,100/49,083,039
  6. Step 6: Final answer
    x = 232,320,924.62

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