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Finding the Third Proportional to 12,563,619,626 and 27,221,033,116

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Solution

The third proportional to 12,563,619,626 and 27,221,033,116 is: 58,978,595,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563,619,626 : 27,221,033,116 = 27,221,033,116 : x
  2. Step 2: Convert to fraction form
    12,563,619,626/27,221,033,116 = 27,221,033,116/x
  3. Step 3: Cross multiply
    12,563,619,626x = 27,221,033,116 × 27,221,033,116
  4. Step 4: Simplify right side
    12,563,619,626x = 740,984,643,902,368,645,120
  5. Step 5: Solve for x
    x = 740,984,643,902,368,645,120/12,563,619,626
  6. Step 6: Final answer
    x = 58,978,595,815.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.