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Finding the Third Proportional to 77,973,203,940 and 170,894,381,964

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Solution

The third proportional to 77,973,203,940 and 170,894,381,964 is: 374,550,336,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,973,203,940 : 170,894,381,964 = 170,894,381,964 : x
  2. Step 2: Convert to fraction form
    77,973,203,940/170,894,381,964 = 170,894,381,964/x
  3. Step 3: Cross multiply
    77,973,203,940x = 170,894,381,964 × 170,894,381,964
  4. Step 4: Simplify right side
    77,973,203,940x = 29,204,889,786,857,526,657,024
  5. Step 5: Solve for x
    x = 29,204,889,786,857,526,657,024/77,973,203,940
  6. Step 6: Final answer
    x = 374,550,336,668.61

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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.