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Finding the Third Proportional to 77,007,421,728 and 164,612,633,202

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Solution

The third proportional to 77,007,421,728 and 164,612,633,202 is: 351,879,317,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007,421,728 : 164,612,633,202 = 164,612,633,202 : x
  2. Step 2: Convert to fraction form
    77,007,421,728/164,612,633,202 = 164,612,633,202/x
  3. Step 3: Cross multiply
    77,007,421,728x = 164,612,633,202 × 164,612,633,202
  4. Step 4: Simplify right side
    77,007,421,728x = 27,097,319,009,696,192,921,600
  5. Step 5: Solve for x
    x = 27,097,319,009,696,192,921,600/77,007,421,728
  6. Step 6: Final answer
    x = 351,879,317,624.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.