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Finding the Third Proportional to 77,007,421,732 and 164,612,633,210

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Solution

The third proportional to 77,007,421,732 and 164,612,633,210 is: 351,879,317,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007,421,732 : 164,612,633,210 = 164,612,633,210 : x
  2. Step 2: Convert to fraction form
    77,007,421,732/164,612,633,210 = 164,612,633,210/x
  3. Step 3: Cross multiply
    77,007,421,732x = 164,612,633,210 × 164,612,633,210
  4. Step 4: Simplify right side
    77,007,421,732x = 27,097,319,012,329,993,535,488
  5. Step 5: Solve for x
    x = 27,097,319,012,329,993,535,488/77,007,421,732
  6. Step 6: Final answer
    x = 351,879,317,640.76

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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.