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Finding the Third Proportional to 112,201,690,821 and 246,843,446,682

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Solution

The third proportional to 112,201,690,821 and 246,843,446,682 is: 543,054,981,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,201,690,821 : 246,843,446,682 = 246,843,446,682 : x
  2. Step 2: Convert to fraction form
    112,201,690,821/246,843,446,682 = 246,843,446,682/x
  3. Step 3: Cross multiply
    112,201,690,821x = 246,843,446,682 × 246,843,446,682
  4. Step 4: Simplify right side
    112,201,690,821x = 60,931,687,169,849,374,539,776
  5. Step 5: Solve for x
    x = 60,931,687,169,849,374,539,776/112,201,690,821
  6. Step 6: Final answer
    x = 543,054,981,827.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.