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Finding the Third Proportional to 4,642,523.54 and 10,923,662.06

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Solution

The third proportional to 4,642,523.54 and 10,923,662.06 is: 25,702,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642,523.54 : 10,923,662.06 = 10,923,662.06 : x
  2. Step 2: Convert to fraction form
    4,642,523.54/10,923,662.06 = 10,923,662.06/x
  3. Step 3: Cross multiply
    4,642,523.54x = 10,923,662.06 × 10,923,662.06
  4. Step 4: Simplify right side
    4,642,523.54x = 119,326,392,727,698.27
  5. Step 5: Solve for x
    x = 119,326,392,727,698.27/4,642,523.54
  6. Step 6: Final answer
    x = 25,702,916.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.