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Finding the Third Proportional to 1,165,258,161 and 2,496,724,322

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Solution

The third proportional to 1,165,258,161 and 2,496,724,322 is: 5,349,571,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,258,161 : 2,496,724,322 = 2,496,724,322 : x
  2. Step 2: Convert to fraction form
    1,165,258,161/2,496,724,322 = 2,496,724,322/x
  3. Step 3: Cross multiply
    1,165,258,161x = 2,496,724,322 × 2,496,724,322
  4. Step 4: Simplify right side
    1,165,258,161x = 6,233,632,340,066,359,296
  5. Step 5: Solve for x
    x = 6,233,632,340,066,359,296/1,165,258,161
  6. Step 6: Final answer
    x = 5,349,571,922.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.