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Finding the Third Proportional to 79,638,029,165.25 and 170,635,335,662.25

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Solution

The third proportional to 79,638,029,165.25 and 170,635,335,662.25 is: 365,609,471,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,638,029,165.25 : 170,635,335,662.25 = 170,635,335,662.25 : x
  2. Step 2: Convert to fraction form
    79,638,029,165.25/170,635,335,662.25 = 170,635,335,662.25/x
  3. Step 3: Cross multiply
    79,638,029,165.25x = 170,635,335,662.25 × 170,635,335,662.25
  4. Step 4: Simplify right side
    79,638,029,165.25x = 29,116,417,776,568,724,619,264
  5. Step 5: Solve for x
    x = 29,116,417,776,568,724,619,264/79,638,029,165.25
  6. Step 6: Final answer
    x = 365,609,471,778.26

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