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Finding the Third Proportional to 6,090,255,728 and 9,690,794,112

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Solution

The third proportional to 6,090,255,728 and 9,690,794,112 is: 15,419,958,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090,255,728 : 9,690,794,112 = 9,690,794,112 : x
  2. Step 2: Convert to fraction form
    6,090,255,728/9,690,794,112 = 9,690,794,112/x
  3. Step 3: Cross multiply
    6,090,255,728x = 9,690,794,112 × 9,690,794,112
  4. Step 4: Simplify right side
    6,090,255,728x = 93,911,490,521,173,868,544
  5. Step 5: Solve for x
    x = 93,911,490,521,173,868,544/6,090,255,728
  6. Step 6: Final answer
    x = 15,419,958,490.32

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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.