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Finding the Third Proportional to 78,498,547,054 and 171,204,504,997

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Solution

The third proportional to 78,498,547,054 and 171,204,504,997 is: 373,395,223,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,498,547,054 : 171,204,504,997 = 171,204,504,997 : x
  2. Step 2: Convert to fraction form
    78,498,547,054/171,204,504,997 = 171,204,504,997/x
  3. Step 3: Cross multiply
    78,498,547,054x = 171,204,504,997 × 171,204,504,997
  4. Step 4: Simplify right side
    78,498,547,054x = 29,310,982,531,267,797,450,752
  5. Step 5: Solve for x
    x = 29,310,982,531,267,797,450,752/78,498,547,054
  6. Step 6: Final answer
    x = 373,395,223,622.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.