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Finding the Third Proportional to 3,437,850 and 7,285,497

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Solution

The third proportional to 3,437,850 and 7,285,497 is: 15,439,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,850 : 7,285,497 = 7,285,497 : x
  2. Step 2: Convert to fraction form
    3,437,850/7,285,497 = 7,285,497/x
  3. Step 3: Cross multiply
    3,437,850x = 7,285,497 × 7,285,497
  4. Step 4: Simplify right side
    3,437,850x = 53,078,466,537,009
  5. Step 5: Solve for x
    x = 53,078,466,537,009/3,437,850
  6. Step 6: Final answer
    x = 15,439,436.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.