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Finding the Third Proportional to 295,783,064 and 638,332,288

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Solution

The third proportional to 295,783,064 and 638,332,288 is: 1,377,591,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,783,064 : 638,332,288 = 638,332,288 : x
  2. Step 2: Convert to fraction form
    295,783,064/638,332,288 = 638,332,288/x
  3. Step 3: Cross multiply
    295,783,064x = 638,332,288 × 638,332,288
  4. Step 4: Simplify right side
    295,783,064x = 407,468,109,903,314,944
  5. Step 5: Solve for x
    x = 407,468,109,903,314,944/295,783,064
  6. Step 6: Final answer
    x = 1,377,591,077.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.