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Finding the Third Proportional to 2,066,199.57 and 4,824,912.13

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Solution

The third proportional to 2,066,199.57 and 4,824,912.13 is: 11,266,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066,199.57 : 4,824,912.13 = 4,824,912.13 : x
  2. Step 2: Convert to fraction form
    2,066,199.57/4,824,912.13 = 4,824,912.13/x
  3. Step 3: Cross multiply
    2,066,199.57x = 4,824,912.13 × 4,824,912.13
  4. Step 4: Simplify right side
    2,066,199.57x = 23,279,777,051,666.16
  5. Step 5: Solve for x
    x = 23,279,777,051,666.16/2,066,199.57
  6. Step 6: Final answer
    x = 11,266,954.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.