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Finding the Third Proportional to 52,895,317,548 and 115,088,324,424

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Solution

The third proportional to 52,895,317,548 and 115,088,324,424 is: 250,406,331,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,895,317,548 : 115,088,324,424 = 115,088,324,424 : x
  2. Step 2: Convert to fraction form
    52,895,317,548/115,088,324,424 = 115,088,324,424/x
  3. Step 3: Cross multiply
    52,895,317,548x = 115,088,324,424 × 115,088,324,424
  4. Step 4: Simplify right side
    52,895,317,548x = 13,245,322,418,723,875,717,120
  5. Step 5: Solve for x
    x = 13,245,322,418,723,875,717,120/52,895,317,548
  6. Step 6: Final answer
    x = 250,406,331,462.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.