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Finding the Third Proportional to 898,239,329 and 1,965,806,377

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Solution

The third proportional to 898,239,329 and 1,965,806,377 is: 4,302,188,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,239,329 : 1,965,806,377 = 1,965,806,377 : x
  2. Step 2: Convert to fraction form
    898,239,329/1,965,806,377 = 1,965,806,377/x
  3. Step 3: Cross multiply
    898,239,329x = 1,965,806,377 × 1,965,806,377
  4. Step 4: Simplify right side
    898,239,329x = 3,864,394,711,853,865,984
  5. Step 5: Solve for x
    x = 3,864,394,711,853,865,984/898,239,329
  6. Step 6: Final answer
    x = 4,302,188,277.77

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