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Finding the Third Proportional to 21,841,684 and 47,396,029

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Solution

The third proportional to 21,841,684 and 47,396,029 is: 102,848,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841,684 : 47,396,029 = 47,396,029 : x
  2. Step 2: Convert to fraction form
    21,841,684/47,396,029 = 47,396,029/x
  3. Step 3: Cross multiply
    21,841,684x = 47,396,029 × 47,396,029
  4. Step 4: Simplify right side
    21,841,684x = 2,246,383,564,968,841
  5. Step 5: Solve for x
    x = 2,246,383,564,968,841/21,841,684
  6. Step 6: Final answer
    x = 102,848,460.08

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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.