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Finding the Third Proportional to 18,335,693,972 and 39,285,281,920

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Solution

The third proportional to 18,335,693,972 and 39,285,281,920 is: 84,170,982,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,335,693,972 : 39,285,281,920 = 39,285,281,920 : x
  2. Step 2: Convert to fraction form
    18,335,693,972/39,285,281,920 = 39,285,281,920/x
  3. Step 3: Cross multiply
    18,335,693,972x = 39,285,281,920 × 39,285,281,920
  4. Step 4: Simplify right side
    18,335,693,972x = 1,543,333,375,533,878,870,016
  5. Step 5: Solve for x
    x = 1,543,333,375,533,878,870,016/18,335,693,972
  6. Step 6: Final answer
    x = 84,170,982,450.44

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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.