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Finding the Third Proportional to 40,976,195,396 and 91,374,145,888

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Solution

The third proportional to 40,976,195,396 and 91,374,145,888 is: 203,758,168,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,976,195,396 : 91,374,145,888 = 91,374,145,888 : x
  2. Step 2: Convert to fraction form
    40,976,195,396/91,374,145,888 = 91,374,145,888/x
  3. Step 3: Cross multiply
    40,976,195,396x = 91,374,145,888 × 91,374,145,888
  4. Step 4: Simplify right side
    40,976,195,396x = 8,349,234,536,761,507,446,784
  5. Step 5: Solve for x
    x = 8,349,234,536,761,507,446,784/40,976,195,396
  6. Step 6: Final answer
    x = 203,758,168,762.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.