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Finding the Third Proportional to 821,540,232 and 1,826,765,136

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Solution

The third proportional to 821,540,232 and 1,826,765,136 is: 4,061,968,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,540,232 : 1,826,765,136 = 1,826,765,136 : x
  2. Step 2: Convert to fraction form
    821,540,232/1,826,765,136 = 1,826,765,136/x
  3. Step 3: Cross multiply
    821,540,232x = 1,826,765,136 × 1,826,765,136
  4. Step 4: Simplify right side
    821,540,232x = 3,337,070,862,105,098,240
  5. Step 5: Solve for x
    x = 3,337,070,862,105,098,240/821,540,232
  6. Step 6: Final answer
    x = 4,061,968,887.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.