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Finding the Third Proportional to 9,947,287,980 and 21,572,936,082

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Solution

The third proportional to 9,947,287,980 and 21,572,936,082 is: 46,785,774,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,287,980 : 21,572,936,082 = 21,572,936,082 : x
  2. Step 2: Convert to fraction form
    9,947,287,980/21,572,936,082 = 21,572,936,082/x
  3. Step 3: Cross multiply
    9,947,287,980x = 21,572,936,082 × 21,572,936,082
  4. Step 4: Simplify right side
    9,947,287,980x = 465,391,571,198,057,512,960
  5. Step 5: Solve for x
    x = 465,391,571,198,057,512,960/9,947,287,980
  6. Step 6: Final answer
    x = 46,785,774,387.33

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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.