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Finding the Third Proportional to 723,987,728 and 1,534,847,416

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Solution

The third proportional to 723,987,728 and 1,534,847,416 is: 3,253,862,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,987,728 : 1,534,847,416 = 1,534,847,416 : x
  2. Step 2: Convert to fraction form
    723,987,728/1,534,847,416 = 1,534,847,416/x
  3. Step 3: Cross multiply
    723,987,728x = 1,534,847,416 × 1,534,847,416
  4. Step 4: Simplify right side
    723,987,728x = 2,355,756,590,401,876,992
  5. Step 5: Solve for x
    x = 2,355,756,590,401,876,992/723,987,728
  6. Step 6: Final answer
    x = 3,253,862,599.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.