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Finding the Third Proportional to 3,743,547 and 7,664,525

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Solution

The third proportional to 3,743,547 and 7,664,525 is: 15,692,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,547 : 7,664,525 = 7,664,525 : x
  2. Step 2: Convert to fraction form
    3,743,547/7,664,525 = 7,664,525/x
  3. Step 3: Cross multiply
    3,743,547x = 7,664,525 × 7,664,525
  4. Step 4: Simplify right side
    3,743,547x = 58,744,943,475,625
  5. Step 5: Solve for x
    x = 58,744,943,475,625/3,743,547
  6. Step 6: Final answer
    x = 15,692,321.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.