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Finding the Third Proportional to 6,485,616 and 15,014,592

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Solution

The third proportional to 6,485,616 and 15,014,592 is: 34,759,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,616 : 15,014,592 = 15,014,592 : x
  2. Step 2: Convert to fraction form
    6,485,616/15,014,592 = 15,014,592/x
  3. Step 3: Cross multiply
    6,485,616x = 15,014,592 × 15,014,592
  4. Step 4: Simplify right side
    6,485,616x = 225,437,972,926,464
  5. Step 5: Solve for x
    x = 225,437,972,926,464/6,485,616
  6. Step 6: Final answer
    x = 34,759,685.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.