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Finding the Third Proportional to 315,349,632 and 674,280,288

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Solution

The third proportional to 315,349,632 and 674,280,288 is: 1,441,745,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,349,632 : 674,280,288 = 674,280,288 : x
  2. Step 2: Convert to fraction form
    315,349,632/674,280,288 = 674,280,288/x
  3. Step 3: Cross multiply
    315,349,632x = 674,280,288 × 674,280,288
  4. Step 4: Simplify right side
    315,349,632x = 454,653,906,785,362,944
  5. Step 5: Solve for x
    x = 454,653,906,785,362,944/315,349,632
  6. Step 6: Final answer
    x = 1,441,745,480.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.