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Finding the Third Proportional to 9,947,287,982 and 21,572,936,086

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Solution

The third proportional to 9,947,287,982 and 21,572,936,086 is: 46,785,774,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,287,982 : 21,572,936,086 = 21,572,936,086 : x
  2. Step 2: Convert to fraction form
    9,947,287,982/21,572,936,086 = 21,572,936,086/x
  3. Step 3: Cross multiply
    9,947,287,982x = 21,572,936,086 × 21,572,936,086
  4. Step 4: Simplify right side
    9,947,287,982x = 465,391,571,370,640,998,400
  5. Step 5: Solve for x
    x = 465,391,571,370,640,998,400/9,947,287,982
  6. Step 6: Final answer
    x = 46,785,774,395.27

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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.