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Finding the Third Proportional to 234,998,662,602 and 352,746,723,054

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Solution

The third proportional to 234,998,662,602 and 352,746,723,054 is: 529,493,441,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,998,662,602 : 352,746,723,054 = 352,746,723,054 : x
  2. Step 2: Convert to fraction form
    234,998,662,602/352,746,723,054 = 352,746,723,054/x
  3. Step 3: Cross multiply
    234,998,662,602x = 352,746,723,054 × 352,746,723,054
  4. Step 4: Simplify right side
    234,998,662,602x = 124,430,250,625,335,371,497,472
  5. Step 5: Solve for x
    x = 124,430,250,625,335,371,497,472/234,998,662,602
  6. Step 6: Final answer
    x = 529,493,441,569.38

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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.