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Finding the Third Proportional to 4,368,082 and 6,613,223

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Solution

The third proportional to 4,368,082 and 6,613,223 is: 10,012,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368,082 : 6,613,223 = 6,613,223 : x
  2. Step 2: Convert to fraction form
    4,368,082/6,613,223 = 6,613,223/x
  3. Step 3: Cross multiply
    4,368,082x = 6,613,223 × 6,613,223
  4. Step 4: Simplify right side
    4,368,082x = 43,734,718,447,729
  5. Step 5: Solve for x
    x = 43,734,718,447,729/4,368,082
  6. Step 6: Final answer
    x = 10,012,339.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.