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Finding the Third Proportional to 21,909,978 and 47,284,092

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Solution

The third proportional to 21,909,978 and 47,284,092 is: 102,044,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909,978 : 47,284,092 = 47,284,092 : x
  2. Step 2: Convert to fraction form
    21,909,978/47,284,092 = 47,284,092/x
  3. Step 3: Cross multiply
    21,909,978x = 47,284,092 × 47,284,092
  4. Step 4: Simplify right side
    21,909,978x = 2,235,785,356,264,464
  5. Step 5: Solve for x
    x = 2,235,785,356,264,464/21,909,978
  6. Step 6: Final answer
    x = 102,044,162.54

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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.