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Finding the Third Proportional to 919,286,496 and 1,463,473,656

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Solution

The third proportional to 919,286,496 and 1,463,473,656 is: 2,329,801,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,286,496 : 1,463,473,656 = 1,463,473,656 : x
  2. Step 2: Convert to fraction form
    919,286,496/1,463,473,656 = 1,463,473,656/x
  3. Step 3: Cross multiply
    919,286,496x = 1,463,473,656 × 1,463,473,656
  4. Step 4: Simplify right side
    919,286,496x = 2,141,755,141,806,006,272
  5. Step 5: Solve for x
    x = 2,141,755,141,806,006,272/919,286,496
  6. Step 6: Final answer
    x = 2,329,801,591.91

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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.