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Finding the Third Proportional to 408,031,136 and 880,542,808

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Solution

The third proportional to 408,031,136 and 880,542,808 is: 1,900,236,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,031,136 : 880,542,808 = 880,542,808 : x
  2. Step 2: Convert to fraction form
    408,031,136/880,542,808 = 880,542,808/x
  3. Step 3: Cross multiply
    408,031,136x = 880,542,808 × 880,542,808
  4. Step 4: Simplify right side
    408,031,136x = 775,355,636,720,524,800
  5. Step 5: Solve for x
    x = 775,355,636,720,524,800/408,031,136
  6. Step 6: Final answer
    x = 1,900,236,448.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.