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Finding the Third Proportional to 16,647,963,006 and 39,286,212,927

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Solution

The third proportional to 16,647,963,006 and 39,286,212,927 is: 92,708,430,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647,963,006 : 39,286,212,927 = 39,286,212,927 : x
  2. Step 2: Convert to fraction form
    16,647,963,006/39,286,212,927 = 39,286,212,927/x
  3. Step 3: Cross multiply
    16,647,963,006x = 39,286,212,927 × 39,286,212,927
  4. Step 4: Simplify right side
    16,647,963,006x = 1,543,406,526,145,581,809,664
  5. Step 5: Solve for x
    x = 1,543,406,526,145,581,809,664/16,647,963,006
  6. Step 6: Final answer
    x = 92,708,430,790.56

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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.