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Finding the Third Proportional to 4,761,108 and 7,241,319

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Solution

The third proportional to 4,761,108 and 7,241,319 is: 11,013,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,108 : 7,241,319 = 7,241,319 : x
  2. Step 2: Convert to fraction form
    4,761,108/7,241,319 = 7,241,319/x
  3. Step 3: Cross multiply
    4,761,108x = 7,241,319 × 7,241,319
  4. Step 4: Simplify right side
    4,761,108x = 52,436,700,859,761
  5. Step 5: Solve for x
    x = 52,436,700,859,761/4,761,108
  6. Step 6: Final answer
    x = 11,013,549.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.