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Finding the Third Proportional to 79,638,029,163 and 170,635,335,648

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Solution

The third proportional to 79,638,029,163 and 170,635,335,648 is: 365,609,471,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,638,029,163 : 170,635,335,648 = 170,635,335,648 : x
  2. Step 2: Convert to fraction form
    79,638,029,163/170,635,335,648 = 170,635,335,648/x
  3. Step 3: Cross multiply
    79,638,029,163x = 170,635,335,648 × 170,635,335,648
  4. Step 4: Simplify right side
    79,638,029,163x = 29,116,417,771,705,617,874,944
  5. Step 5: Solve for x
    x = 29,116,417,771,705,617,874,944/79,638,029,163
  6. Step 6: Final answer
    x = 365,609,471,727.53

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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.