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Finding the Third Proportional to 919,286,500 and 1,463,473,662

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Solution

The third proportional to 919,286,500 and 1,463,473,662 is: 2,329,801,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,286,500 : 1,463,473,662 = 1,463,473,662 : x
  2. Step 2: Convert to fraction form
    919,286,500/1,463,473,662 = 1,463,473,662/x
  3. Step 3: Cross multiply
    919,286,500x = 1,463,473,662 × 1,463,473,662
  4. Step 4: Simplify right side
    919,286,500x = 2,141,755,159,367,690,240
  5. Step 5: Solve for x
    x = 2,141,755,159,367,690,240/919,286,500
  6. Step 6: Final answer
    x = 2,329,801,600.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.