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Finding the Third Proportional to 9,570,757.50 and 14,363,136

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Solution

The third proportional to 9,570,757.50 and 14,363,136 is: 21,555,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,757.50 : 14,363,136 = 14,363,136 : x
  2. Step 2: Convert to fraction form
    9,570,757.50/14,363,136 = 14,363,136/x
  3. Step 3: Cross multiply
    9,570,757.50x = 14,363,136 × 14,363,136
  4. Step 4: Simplify right side
    9,570,757.50x = 206,299,675,754,496
  5. Step 5: Solve for x
    x = 206,299,675,754,496/9,570,757.50
  6. Step 6: Final answer
    x = 21,555,208.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.