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Finding the Third Proportional to 329,131,368 and 707,795,856

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Solution

The third proportional to 329,131,368 and 707,795,856 is: 1,522,112,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,131,368 : 707,795,856 = 707,795,856 : x
  2. Step 2: Convert to fraction form
    329,131,368/707,795,856 = 707,795,856/x
  3. Step 3: Cross multiply
    329,131,368x = 707,795,856 × 707,795,856
  4. Step 4: Simplify right side
    329,131,368x = 500,974,973,770,772,736
  5. Step 5: Solve for x
    x = 500,974,973,770,772,736/329,131,368
  6. Step 6: Final answer
    x = 1,522,112,513.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.