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Finding the Third Proportional to 5,605,491,752 and 7,883,749,094

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Solution

The third proportional to 5,605,491,752 and 7,883,749,094 is: 11,087,965,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,491,752 : 7,883,749,094 = 7,883,749,094 : x
  2. Step 2: Convert to fraction form
    5,605,491,752/7,883,749,094 = 7,883,749,094/x
  3. Step 3: Cross multiply
    5,605,491,752x = 7,883,749,094 × 7,883,749,094
  4. Step 4: Simplify right side
    5,605,491,752x = 62,153,499,777,145,823,232
  5. Step 5: Solve for x
    x = 62,153,499,777,145,823,232/5,605,491,752
  6. Step 6: Final answer
    x = 11,087,965,610.68

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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.