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Finding the Third Proportional to 4,175,073 and 6,464,616

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Solution

The third proportional to 4,175,073 and 6,464,616 is: 10,009,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175,073 : 6,464,616 = 6,464,616 : x
  2. Step 2: Convert to fraction form
    4,175,073/6,464,616 = 6,464,616/x
  3. Step 3: Cross multiply
    4,175,073x = 6,464,616 × 6,464,616
  4. Step 4: Simplify right side
    4,175,073x = 41,791,260,027,456
  5. Step 5: Solve for x
    x = 41,791,260,027,456/4,175,073
  6. Step 6: Final answer
    x = 10,009,707.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.