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Finding the Third Proportional to 10,313,448.75 and 21,856,285.13

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Solution

The third proportional to 10,313,448.75 and 21,856,285.13 is: 46,317,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,448.75 : 21,856,285.13 = 21,856,285.13 : x
  2. Step 2: Convert to fraction form
    10,313,448.75/21,856,285.13 = 21,856,285.13/x
  3. Step 3: Cross multiply
    10,313,448.75x = 21,856,285.13 × 21,856,285.13
  4. Step 4: Simplify right side
    10,313,448.75x = 477,697,199,465,296.25
  5. Step 5: Solve for x
    x = 477,697,199,465,296.25/10,313,448.75
  6. Step 6: Final answer
    x = 46,317,891.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.