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Finding the Third Proportional to 3,485,406 and 7,641,564

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Solution

The third proportional to 3,485,406 and 7,641,564 is: 16,753,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485,406 : 7,641,564 = 7,641,564 : x
  2. Step 2: Convert to fraction form
    3,485,406/7,641,564 = 7,641,564/x
  3. Step 3: Cross multiply
    3,485,406x = 7,641,564 × 7,641,564
  4. Step 4: Simplify right side
    3,485,406x = 58,393,500,366,096
  5. Step 5: Solve for x
    x = 58,393,500,366,096/3,485,406
  6. Step 6: Final answer
    x = 16,753,715.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.