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Finding the Third Proportional to 2,431,529,860 and 5,734,222,858

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Solution

The third proportional to 2,431,529,860 and 5,734,222,858 is: 13,522,890,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,529,860 : 5,734,222,858 = 5,734,222,858 : x
  2. Step 2: Convert to fraction form
    2,431,529,860/5,734,222,858 = 5,734,222,858/x
  3. Step 3: Cross multiply
    2,431,529,860x = 5,734,222,858 × 5,734,222,858
  4. Step 4: Simplify right side
    2,431,529,860x = 32,881,311,785,209,688,064
  5. Step 5: Solve for x
    x = 32,881,311,785,209,688,064/2,431,529,860
  6. Step 6: Final answer
    x = 13,522,890,393.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.