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Finding the Third Proportional to 1,433,783,626 and 2,214,349,946

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Solution

The third proportional to 1,433,783,626 and 2,214,349,946 is: 3,419,864,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,783,626 : 2,214,349,946 = 2,214,349,946 : x
  2. Step 2: Convert to fraction form
    1,433,783,626/2,214,349,946 = 2,214,349,946/x
  3. Step 3: Cross multiply
    1,433,783,626x = 2,214,349,946 × 2,214,349,946
  4. Step 4: Simplify right side
    1,433,783,626x = 4,903,345,683,350,203,392
  5. Step 5: Solve for x
    x = 4,903,345,683,350,203,392/1,433,783,626
  6. Step 6: Final answer
    x = 3,419,864,472.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.