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Finding the Third Proportional to 21,959,471 and 47,699,142

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Solution

The third proportional to 21,959,471 and 47,699,142 is: 103,609,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959,471 : 47,699,142 = 47,699,142 : x
  2. Step 2: Convert to fraction form
    21,959,471/47,699,142 = 47,699,142/x
  3. Step 3: Cross multiply
    21,959,471x = 47,699,142 × 47,699,142
  4. Step 4: Simplify right side
    21,959,471x = 2,275,208,147,536,164
  5. Step 5: Solve for x
    x = 2,275,208,147,536,164/21,959,471
  6. Step 6: Final answer
    x = 103,609,424.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.