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Finding the Third Proportional to 9,970,667,260 and 21,533,309,991

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Solution

The third proportional to 9,970,667,260 and 21,533,309,991 is: 46,504,755,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970,667,260 : 21,533,309,991 = 21,533,309,991 : x
  2. Step 2: Convert to fraction form
    9,970,667,260/21,533,309,991 = 21,533,309,991/x
  3. Step 3: Cross multiply
    9,970,667,260x = 21,533,309,991 × 21,533,309,991
  4. Step 4: Simplify right side
    9,970,667,260x = 463,683,439,168,500,400,128
  5. Step 5: Solve for x
    x = 463,683,439,168,500,400,128/9,970,667,260
  6. Step 6: Final answer
    x = 46,504,755,105.88

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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.