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Finding the Third Proportional to 1,277,480,868 and 2,771,790,344

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Solution

The third proportional to 1,277,480,868 and 2,771,790,344 is: 6,014,040,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,480,868 : 2,771,790,344 = 2,771,790,344 : x
  2. Step 2: Convert to fraction form
    1,277,480,868/2,771,790,344 = 2,771,790,344/x
  3. Step 3: Cross multiply
    1,277,480,868x = 2,771,790,344 × 2,771,790,344
  4. Step 4: Simplify right side
    1,277,480,868x = 7,682,821,711,091,638,272
  5. Step 5: Solve for x
    x = 7,682,821,711,091,638,272/1,277,480,868
  6. Step 6: Final answer
    x = 6,014,040,525.80

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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.