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Finding the Third Proportional to 10,200,971.25 and 21,553,310.25

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Solution

The third proportional to 10,200,971.25 and 21,553,310.25 is: 45,539,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200,971.25 : 21,553,310.25 = 21,553,310.25 : x
  2. Step 2: Convert to fraction form
    10,200,971.25/21,553,310.25 = 21,553,310.25/x
  3. Step 3: Cross multiply
    10,200,971.25x = 21,553,310.25 × 21,553,310.25
  4. Step 4: Simplify right side
    10,200,971.25x = 464,545,182,732,755.06
  5. Step 5: Solve for x
    x = 464,545,182,732,755.06/10,200,971.25
  6. Step 6: Final answer
    x = 45,539,309.09

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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.