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Finding the Third Proportional to 18,335,693,970 and 39,285,281,916

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Solution

The third proportional to 18,335,693,970 and 39,285,281,916 is: 84,170,982,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,335,693,970 : 39,285,281,916 = 39,285,281,916 : x
  2. Step 2: Convert to fraction form
    18,335,693,970/39,285,281,916 = 39,285,281,916/x
  3. Step 3: Cross multiply
    18,335,693,970x = 39,285,281,916 × 39,285,281,916
  4. Step 4: Simplify right side
    18,335,693,970x = 1,543,333,375,219,596,525,568
  5. Step 5: Solve for x
    x = 1,543,333,375,219,596,525,568/18,335,693,970
  6. Step 6: Final answer
    x = 84,170,982,442.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.