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Finding the Third Proportional to 4,628,616 and 7,166,220

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Solution

The third proportional to 4,628,616 and 7,166,220 is: 11,095,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628,616 : 7,166,220 = 7,166,220 : x
  2. Step 2: Convert to fraction form
    4,628,616/7,166,220 = 7,166,220/x
  3. Step 3: Cross multiply
    4,628,616x = 7,166,220 × 7,166,220
  4. Step 4: Simplify right side
    4,628,616x = 51,354,709,088,400
  5. Step 5: Solve for x
    x = 51,354,709,088,400/4,628,616
  6. Step 6: Final answer
    x = 11,095,046.36

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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.