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Finding the Third Proportional to 7,313,469,146 and 11,141,314,611

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Solution

The third proportional to 7,313,469,146 and 11,141,314,611 is: 16,972,641,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313,469,146 : 11,141,314,611 = 11,141,314,611 : x
  2. Step 2: Convert to fraction form
    7,313,469,146/11,141,314,611 = 11,141,314,611/x
  3. Step 3: Cross multiply
    7,313,469,146x = 11,141,314,611 × 11,141,314,611
  4. Step 4: Simplify right side
    7,313,469,146x = 124,128,891,261,282,074,624
  5. Step 5: Solve for x
    x = 124,128,891,261,282,074,624/7,313,469,146
  6. Step 6: Final answer
    x = 16,972,641,681.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.