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Finding the Third Proportional to 2,376,808,571,954 and 5,148,288,998,660

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Solution

The third proportional to 2,376,808,571,954 and 5,148,288,998,660 is: 11,151,457,431,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,808,571,954 : 5,148,288,998,660 = 5,148,288,998,660 : x
  2. Step 2: Convert to fraction form
    2,376,808,571,954/5,148,288,998,660 = 5,148,288,998,660/x
  3. Step 3: Cross multiply
    2,376,808,571,954x = 5,148,288,998,660 × 5,148,288,998,660
  4. Step 4: Simplify right side
    2,376,808,571,954x = 26,504,879,613,723,586,215,280,640
  5. Step 5: Solve for x
    x = 26,504,879,613,723,586,215,280,640/2,376,808,571,954
  6. Step 6: Final answer
    x = 11,151,457,431,817.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.