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Finding the Third Proportional to 331,454,871 and 460,861,619

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Solution

The third proportional to 331,454,871 and 460,861,619 is: 640,791,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,454,871 : 460,861,619 = 460,861,619 : x
  2. Step 2: Convert to fraction form
    331,454,871/460,861,619 = 460,861,619/x
  3. Step 3: Cross multiply
    331,454,871x = 460,861,619 × 460,861,619
  4. Step 4: Simplify right side
    331,454,871x = 212,393,431,867,301,152
  5. Step 5: Solve for x
    x = 212,393,431,867,301,152/331,454,871
  6. Step 6: Final answer
    x = 640,791,403.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.