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Finding the Third Proportional to 9,970,667,262 and 21,533,309,995

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Solution

The third proportional to 9,970,667,262 and 21,533,309,995 is: 46,504,755,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970,667,262 : 21,533,309,995 = 21,533,309,995 : x
  2. Step 2: Convert to fraction form
    9,970,667,262/21,533,309,995 = 21,533,309,995/x
  3. Step 3: Cross multiply
    9,970,667,262x = 21,533,309,995 × 21,533,309,995
  4. Step 4: Simplify right side
    9,970,667,262x = 463,683,439,340,766,887,936
  5. Step 5: Solve for x
    x = 463,683,439,340,766,887,936/9,970,667,262
  6. Step 6: Final answer
    x = 46,504,755,113.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.