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Finding the Third Proportional to 48,799,744 and 105,633,120

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Solution

The third proportional to 48,799,744 and 105,633,120 is: 228,656,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,799,744 : 105,633,120 = 105,633,120 : x
  2. Step 2: Convert to fraction form
    48,799,744/105,633,120 = 105,633,120/x
  3. Step 3: Cross multiply
    48,799,744x = 105,633,120 × 105,633,120
  4. Step 4: Simplify right side
    48,799,744x = 11,158,356,040,934,400
  5. Step 5: Solve for x
    x = 11,158,356,040,934,400/48,799,744
  6. Step 6: Final answer
    x = 228,656,036.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.