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Finding the Third Proportional to 3,747,006 and 7,788,537

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Solution

The third proportional to 3,747,006 and 7,788,537 is: 16,189,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,006 : 7,788,537 = 7,788,537 : x
  2. Step 2: Convert to fraction form
    3,747,006/7,788,537 = 7,788,537/x
  3. Step 3: Cross multiply
    3,747,006x = 7,788,537 × 7,788,537
  4. Step 4: Simplify right side
    3,747,006x = 60,661,308,600,369
  5. Step 5: Solve for x
    x = 60,661,308,600,369/3,747,006
  6. Step 6: Final answer
    x = 16,189,274.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.