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Finding the Third Proportional to 234,998,662,536 and 352,746,722,954.24

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Solution

The third proportional to 234,998,662,536 and 352,746,722,954.24 is: 529,493,441,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,998,662,536 : 352,746,722,954.24 = 352,746,722,954.24 : x
  2. Step 2: Convert to fraction form
    234,998,662,536/352,746,722,954.24 = 352,746,722,954.24/x
  3. Step 3: Cross multiply
    234,998,662,536x = 352,746,722,954.24 × 352,746,722,954.24
  4. Step 4: Simplify right side
    234,998,662,536x = 124,430,250,554,955,336,253,440
  5. Step 5: Solve for x
    x = 124,430,250,554,955,336,253,440/234,998,662,536
  6. Step 6: Final answer
    x = 529,493,441,418.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.