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Finding the Third Proportional to 9,978,823.50 and 21,448,359.75

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Solution

The third proportional to 9,978,823.50 and 21,448,359.75 is: 46,100,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978,823.50 : 21,448,359.75 = 21,448,359.75 : x
  2. Step 2: Convert to fraction form
    9,978,823.50/21,448,359.75 = 21,448,359.75/x
  3. Step 3: Cross multiply
    9,978,823.50x = 21,448,359.75 × 21,448,359.75
  4. Step 4: Simplify right side
    9,978,823.50x = 460,032,135,965,420.06
  5. Step 5: Solve for x
    x = 460,032,135,965,420.06/9,978,823.50
  6. Step 6: Final answer
    x = 46,100,839.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.