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Finding the Third Proportional to 69,033,982,464 and 161,294,532,458

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Solution

The third proportional to 69,033,982,464 and 161,294,532,458 is: 376,856,806,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,033,982,464 : 161,294,532,458 = 161,294,532,458 : x
  2. Step 2: Convert to fraction form
    69,033,982,464/161,294,532,458 = 161,294,532,458/x
  3. Step 3: Cross multiply
    69,033,982,464x = 161,294,532,458 × 161,294,532,458
  4. Step 4: Simplify right side
    69,033,982,464x = 26,015,926,200,844,815,433,728
  5. Step 5: Solve for x
    x = 26,015,926,200,844,815,433,728/69,033,982,464
  6. Step 6: Final answer
    x = 376,856,806,927.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.