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Finding the Third Proportional to 403,812,024,082 and 872,099,054,626

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Solution

The third proportional to 403,812,024,082 and 872,099,054,626 is: 1,883,442,581,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812,024,082 : 872,099,054,626 = 872,099,054,626 : x
  2. Step 2: Convert to fraction form
    403,812,024,082/872,099,054,626 = 872,099,054,626/x
  3. Step 3: Cross multiply
    403,812,024,082x = 872,099,054,626 × 872,099,054,626
  4. Step 4: Simplify right side
    403,812,024,082x = 760,556,761,079,562,889,068,544
  5. Step 5: Solve for x
    x = 760,556,761,079,562,889,068,544/403,812,024,082
  6. Step 6: Final answer
    x = 1,883,442,581,504.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.