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Finding the Third Proportional to 2,136,871,204 and 4,641,592,652

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Solution

The third proportional to 2,136,871,204 and 4,641,592,652 is: 10,082,209,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136,871,204 : 4,641,592,652 = 4,641,592,652 : x
  2. Step 2: Convert to fraction form
    2,136,871,204/4,641,592,652 = 4,641,592,652/x
  3. Step 3: Cross multiply
    2,136,871,204x = 4,641,592,652 × 4,641,592,652
  4. Step 4: Simplify right side
    2,136,871,204x = 21,544,382,347,100,393,472
  5. Step 5: Solve for x
    x = 21,544,382,347,100,393,472/2,136,871,204
  6. Step 6: Final answer
    x = 10,082,209,122.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.