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Finding the Third Proportional to 1,163,483,568 and 2,585,244,168

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Solution

The third proportional to 1,163,483,568 and 2,585,244,168 is: 5,744,376,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,483,568 : 2,585,244,168 = 2,585,244,168 : x
  2. Step 2: Convert to fraction form
    1,163,483,568/2,585,244,168 = 2,585,244,168/x
  3. Step 3: Cross multiply
    1,163,483,568x = 2,585,244,168 × 2,585,244,168
  4. Step 4: Simplify right side
    1,163,483,568x = 6,683,487,408,178,012,160
  5. Step 5: Solve for x
    x = 6,683,487,408,178,012,160/1,163,483,568
  6. Step 6: Final answer
    x = 5,744,376,278.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.