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Finding the Third Proportional to 77,973,203,920 and 170,894,381,928

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Solution

The third proportional to 77,973,203,920 and 170,894,381,928 is: 374,550,336,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,973,203,920 : 170,894,381,928 = 170,894,381,928 : x
  2. Step 2: Convert to fraction form
    77,973,203,920/170,894,381,928 = 170,894,381,928/x
  3. Step 3: Cross multiply
    77,973,203,920x = 170,894,381,928 × 170,894,381,928
  4. Step 4: Simplify right side
    77,973,203,920x = 29,204,889,774,553,133,219,840
  5. Step 5: Solve for x
    x = 29,204,889,774,553,133,219,840/77,973,203,920
  6. Step 6: Final answer
    x = 374,550,336,606.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.