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Finding the Third Proportional to 10,791,866 and 23,122,178

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Solution

The third proportional to 10,791,866 and 23,122,178 is: 49,540,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791,866 : 23,122,178 = 23,122,178 : x
  2. Step 2: Convert to fraction form
    10,791,866/23,122,178 = 23,122,178/x
  3. Step 3: Cross multiply
    10,791,866x = 23,122,178 × 23,122,178
  4. Step 4: Simplify right side
    10,791,866x = 534,635,115,463,684
  5. Step 5: Solve for x
    x = 534,635,115,463,684/10,791,866
  6. Step 6: Final answer
    x = 49,540,562.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.