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Finding the Third Proportional to 2,491,470,915 and 5,881,351,977.75

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Solution

The third proportional to 2,491,470,915 and 5,881,351,977.75 is: 13,883,485,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491,470,915 : 5,881,351,977.75 = 5,881,351,977.75 : x
  2. Step 2: Convert to fraction form
    2,491,470,915/5,881,351,977.75 = 5,881,351,977.75/x
  3. Step 3: Cross multiply
    2,491,470,915x = 5,881,351,977.75 × 5,881,351,977.75
  4. Step 4: Simplify right side
    2,491,470,915x = 34,590,301,086,183,837,696
  5. Step 5: Solve for x
    x = 34,590,301,086,183,837,696/2,491,470,915
  6. Step 6: Final answer
    x = 13,883,485,806.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.