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Finding the Third Proportional to 5,605,491,714.75 and 7,883,749,044

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Solution

The third proportional to 5,605,491,714.75 and 7,883,749,044 is: 11,087,965,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,491,714.75 : 7,883,749,044 = 7,883,749,044 : x
  2. Step 2: Convert to fraction form
    5,605,491,714.75/7,883,749,044 = 7,883,749,044/x
  3. Step 3: Cross multiply
    5,605,491,714.75x = 7,883,749,044 × 7,883,749,044
  4. Step 4: Simplify right side
    5,605,491,714.75x = 62,153,498,988,770,910,208
  5. Step 5: Solve for x
    x = 62,153,498,988,770,910,208/5,605,491,714.75
  6. Step 6: Final answer
    x = 11,087,965,543.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.