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Finding the Third Proportional to 234,998,662,632 and 352,746,723,084

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Solution

The third proportional to 234,998,662,632 and 352,746,723,084 is: 529,493,441,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,998,662,632 : 352,746,723,084 = 352,746,723,084 : x
  2. Step 2: Convert to fraction form
    234,998,662,632/352,746,723,084 = 352,746,723,084/x
  3. Step 3: Cross multiply
    234,998,662,632x = 352,746,723,084 × 352,746,723,084
  4. Step 4: Simplify right side
    234,998,662,632x = 124,430,250,646,500,181,803,008
  5. Step 5: Solve for x
    x = 124,430,250,646,500,181,803,008/234,998,662,632
  6. Step 6: Final answer
    x = 529,493,441,591.85

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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.