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Finding the Third Proportional to 10,181,853 and 21,956,949

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Solution

The third proportional to 10,181,853 and 21,956,949 is: 47,349,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,853 : 21,956,949 = 21,956,949 : x
  2. Step 2: Convert to fraction form
    10,181,853/21,956,949 = 21,956,949/x
  3. Step 3: Cross multiply
    10,181,853x = 21,956,949 × 21,956,949
  4. Step 4: Simplify right side
    10,181,853x = 482,107,609,388,601
  5. Step 5: Solve for x
    x = 482,107,609,388,601/10,181,853
  6. Step 6: Final answer
    x = 47,349,692.57

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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.