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Finding the Third Proportional to 70,578,796 and 107,944,460

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Solution

The third proportional to 70,578,796 and 107,944,460 is: 165,092,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578,796 : 107,944,460 = 107,944,460 : x
  2. Step 2: Convert to fraction form
    70,578,796/107,944,460 = 107,944,460/x
  3. Step 3: Cross multiply
    70,578,796x = 107,944,460 × 107,944,460
  4. Step 4: Simplify right side
    70,578,796x = 11,652,006,444,691,600
  5. Step 5: Solve for x
    x = 11,652,006,444,691,600/70,578,796
  6. Step 6: Final answer
    x = 165,092,167.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.