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Finding the Third Proportional to 10,200,906 and 21,553,193.25

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Solution

The third proportional to 10,200,906 and 21,553,193.25 is: 45,539,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200,906 : 21,553,193.25 = 21,553,193.25 : x
  2. Step 2: Convert to fraction form
    10,200,906/21,553,193.25 = 21,553,193.25/x
  3. Step 3: Cross multiply
    10,200,906x = 21,553,193.25 × 21,553,193.25
  4. Step 4: Simplify right side
    10,200,906x = 464,540,139,271,845.56
  5. Step 5: Solve for x
    x = 464,540,139,271,845.56/10,200,906
  6. Step 6: Final answer
    x = 45,539,105.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.