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Finding the Third Proportional to 21,959,174 and 47,698,532

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Solution

The third proportional to 21,959,174 and 47,698,532 is: 103,608,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959,174 : 47,698,532 = 47,698,532 : x
  2. Step 2: Convert to fraction form
    21,959,174/47,698,532 = 47,698,532/x
  3. Step 3: Cross multiply
    21,959,174x = 47,698,532 × 47,698,532
  4. Step 4: Simplify right side
    21,959,174x = 2,275,149,954,955,024
  5. Step 5: Solve for x
    x = 2,275,149,954,955,024/21,959,174
  6. Step 6: Final answer
    x = 103,608,175.56

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Why These Related Problems?

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