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Finding the Third Proportional to 7,635,136.50 and 16,465,806

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Solution

The third proportional to 7,635,136.50 and 16,465,806 is: 35,509,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,136.50 : 16,465,806 = 16,465,806 : x
  2. Step 2: Convert to fraction form
    7,635,136.50/16,465,806 = 16,465,806/x
  3. Step 3: Cross multiply
    7,635,136.50x = 16,465,806 × 16,465,806
  4. Step 4: Simplify right side
    7,635,136.50x = 271,122,767,229,636
  5. Step 5: Solve for x
    x = 271,122,767,229,636/7,635,136.50
  6. Step 6: Final answer
    x = 35,509,878.21

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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.