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Finding the Third Proportional to 389,695,136 and 856,528,192

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Solution

The third proportional to 389,695,136 and 856,528,192 is: 1,882,601,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,695,136 : 856,528,192 = 856,528,192 : x
  2. Step 2: Convert to fraction form
    389,695,136/856,528,192 = 856,528,192/x
  3. Step 3: Cross multiply
    389,695,136x = 856,528,192 × 856,528,192
  4. Step 4: Simplify right side
    389,695,136x = 733,640,543,690,788,864
  5. Step 5: Solve for x
    x = 733,640,543,690,788,864/389,695,136
  6. Step 6: Final answer
    x = 1,882,601,233.42

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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.