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Finding the Third Proportional to 2,724,806,626 and 5,965,464,991

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Solution

The third proportional to 2,724,806,626 and 5,965,464,991 is: 13,060,292,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,806,626 : 5,965,464,991 = 5,965,464,991 : x
  2. Step 2: Convert to fraction form
    2,724,806,626/5,965,464,991 = 5,965,464,991/x
  3. Step 3: Cross multiply
    2,724,806,626x = 5,965,464,991 × 5,965,464,991
  4. Step 4: Simplify right side
    2,724,806,626x = 35,586,772,558,846,631,936
  5. Step 5: Solve for x
    x = 35,586,772,558,846,631,936/2,724,806,626
  6. Step 6: Final answer
    x = 13,060,292,873.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.