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Finding the Third Proportional to 5,646,623.48 and 7,618,629.23

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Solution

The third proportional to 5,646,623.48 and 7,618,629.23 is: 10,279,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646,623.48 : 7,618,629.23 = 7,618,629.23 : x
  2. Step 2: Convert to fraction form
    5,646,623.48/7,618,629.23 = 7,618,629.23/x
  3. Step 3: Cross multiply
    5,646,623.48x = 7,618,629.23 × 7,618,629.23
  4. Step 4: Simplify right side
    5,646,623.48x = 58,043,511,410,873.40
  5. Step 5: Solve for x
    x = 58,043,511,410,873.40/5,646,623.48
  6. Step 6: Final answer
    x = 10,279,330.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.