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Finding the Third Proportional to 6,738,231,508 and 14,541,868,820

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Solution

The third proportional to 6,738,231,508 and 14,541,868,820 is: 31,383,004,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,231,508 : 14,541,868,820 = 14,541,868,820 : x
  2. Step 2: Convert to fraction form
    6,738,231,508/14,541,868,820 = 14,541,868,820/x
  3. Step 3: Cross multiply
    6,738,231,508x = 14,541,868,820 × 14,541,868,820
  4. Step 4: Simplify right side
    6,738,231,508x = 211,465,948,778,088,202,240
  5. Step 5: Solve for x
    x = 211,465,948,778,088,202,240/6,738,231,508
  6. Step 6: Final answer
    x = 31,383,004,357.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.