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Finding the Third Proportional to 49,918,228,933 and 101,225,490,895

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Solution

The third proportional to 49,918,228,933 and 101,225,490,895 is: 205,267,699,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,918,228,933 : 101,225,490,895 = 101,225,490,895 : x
  2. Step 2: Convert to fraction form
    49,918,228,933/101,225,490,895 = 101,225,490,895/x
  3. Step 3: Cross multiply
    49,918,228,933x = 101,225,490,895 × 101,225,490,895
  4. Step 4: Simplify right side
    49,918,228,933x = 10,246,600,006,933,728,460,800
  5. Step 5: Solve for x
    x = 10,246,600,006,933,728,460,800/49,918,228,933
  6. Step 6: Final answer
    x = 205,267,699,314.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.