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Finding the Third Proportional to 409,569,422.63 and 902,622,136.92

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Solution

The third proportional to 409,569,422.63 and 902,622,136.92 is: 1,989,227,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,569,422.63 : 902,622,136.92 = 902,622,136.92 : x
  2. Step 2: Convert to fraction form
    409,569,422.63/902,622,136.92 = 902,622,136.92/x
  3. Step 3: Cross multiply
    409,569,422.63x = 902,622,136.92 × 902,622,136.92
  4. Step 4: Simplify right side
    409,569,422.63x = 814,726,722,061,421,056
  5. Step 5: Solve for x
    x = 814,726,722,061,421,056/409,569,422.63
  6. Step 6: Final answer
    x = 1,989,227,410.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.