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Finding the Third Proportional to 13,154,072,823 and 27,005,482,992

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Solution

The third proportional to 13,154,072,823 and 27,005,482,992 is: 55,442,608,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154,072,823 : 27,005,482,992 = 27,005,482,992 : x
  2. Step 2: Convert to fraction form
    13,154,072,823/27,005,482,992 = 27,005,482,992/x
  3. Step 3: Cross multiply
    13,154,072,823x = 27,005,482,992 × 27,005,482,992
  4. Step 4: Simplify right side
    13,154,072,823x = 729,296,111,631,201,337,344
  5. Step 5: Solve for x
    x = 729,296,111,631,201,337,344/13,154,072,823
  6. Step 6: Final answer
    x = 55,442,608,646.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.