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Finding the Third Proportional to 3,437,784 and 7,285,373

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Solution

The third proportional to 3,437,784 and 7,285,373 is: 15,439,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,784 : 7,285,373 = 7,285,373 : x
  2. Step 2: Convert to fraction form
    3,437,784/7,285,373 = 7,285,373/x
  3. Step 3: Cross multiply
    3,437,784x = 7,285,373 × 7,285,373
  4. Step 4: Simplify right side
    3,437,784x = 53,076,659,749,129
  5. Step 5: Solve for x
    x = 53,076,659,749,129/3,437,784
  6. Step 6: Final answer
    x = 15,439,207.28

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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.