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Finding the Third Proportional to 11,580,217.50 and 15,438,537

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Solution

The third proportional to 11,580,217.50 and 15,438,537 is: 20,582,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580,217.50 : 15,438,537 = 15,438,537 : x
  2. Step 2: Convert to fraction form
    11,580,217.50/15,438,537 = 15,438,537/x
  3. Step 3: Cross multiply
    11,580,217.50x = 15,438,537 × 15,438,537
  4. Step 4: Simplify right side
    11,580,217.50x = 238,348,424,700,369
  5. Step 5: Solve for x
    x = 238,348,424,700,369/11,580,217.50
  6. Step 6: Final answer
    x = 20,582,378.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.