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Finding the Third Proportional to 42,996,301,631 and 94,257,573,694

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Solution

The third proportional to 42,996,301,631 and 94,257,573,694 is: 206,633,823,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996,301,631 : 94,257,573,694 = 94,257,573,694 : x
  2. Step 2: Convert to fraction form
    42,996,301,631/94,257,573,694 = 94,257,573,694/x
  3. Step 3: Cross multiply
    42,996,301,631x = 94,257,573,694 × 94,257,573,694
  4. Step 4: Simplify right side
    42,996,301,631x = 8,884,490,198,679,840,358,400
  5. Step 5: Solve for x
    x = 8,884,490,198,679,840,358,400/42,996,301,631
  6. Step 6: Final answer
    x = 206,633,823,414.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.