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Finding the Third Proportional to 9,952,510,538 and 21,382,022,756

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Solution

The third proportional to 9,952,510,538 and 21,382,022,756 is: 45,937,243,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952,510,538 : 21,382,022,756 = 21,382,022,756 : x
  2. Step 2: Convert to fraction form
    9,952,510,538/21,382,022,756 = 21,382,022,756/x
  3. Step 3: Cross multiply
    9,952,510,538x = 21,382,022,756 × 21,382,022,756
  4. Step 4: Simplify right side
    9,952,510,538x = 457,190,897,138,101,846,016
  5. Step 5: Solve for x
    x = 457,190,897,138,101,846,016/9,952,510,538
  6. Step 6: Final answer
    x = 45,937,243,210.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.