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Finding the Third Proportional to 5,605,491,740 and 7,883,749,085

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Solution

The third proportional to 5,605,491,740 and 7,883,749,085 is: 11,087,965,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,491,740 : 7,883,749,085 = 7,883,749,085 : x
  2. Step 2: Convert to fraction form
    5,605,491,740/7,883,749,085 = 7,883,749,085/x
  3. Step 3: Cross multiply
    5,605,491,740x = 7,883,749,085 × 7,883,749,085
  4. Step 4: Simplify right side
    5,605,491,740x = 62,153,499,635,238,338,560
  5. Step 5: Solve for x
    x = 62,153,499,635,238,338,560/5,605,491,740
  6. Step 6: Final answer
    x = 11,087,965,609.10

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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.