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Finding the Third Proportional to 6,918,723,783 and 10,332,747,828

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Solution

The third proportional to 6,918,723,783 and 10,332,747,828 is: 15,431,412,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918,723,783 : 10,332,747,828 = 10,332,747,828 : x
  2. Step 2: Convert to fraction form
    6,918,723,783/10,332,747,828 = 10,332,747,828/x
  3. Step 3: Cross multiply
    6,918,723,783x = 10,332,747,828 × 10,332,747,828
  4. Step 4: Simplify right side
    6,918,723,783x = 106,765,677,677,038,714,880
  5. Step 5: Solve for x
    x = 106,765,677,677,038,714,880/6,918,723,783
  6. Step 6: Final answer
    x = 15,431,412,067.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.