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Finding the Third Proportional to 38,433,992,304 and 82,765,303,008

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Solution

The third proportional to 38,433,992,304 and 82,765,303,008 is: 178,230,128,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433,992,304 : 82,765,303,008 = 82,765,303,008 : x
  2. Step 2: Convert to fraction form
    38,433,992,304/82,765,303,008 = 82,765,303,008/x
  3. Step 3: Cross multiply
    38,433,992,304x = 82,765,303,008 × 82,765,303,008
  4. Step 4: Simplify right side
    38,433,992,304x = 6,850,095,382,006,053,470,208
  5. Step 5: Solve for x
    x = 6,850,095,382,006,053,470,208/38,433,992,304
  6. Step 6: Final answer
    x = 178,230,128,367.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.