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Finding the Third Proportional to 6,225,624 and 13,632,264

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Solution

The third proportional to 6,225,624 and 13,632,264 is: 29,850,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225,624 : 13,632,264 = 13,632,264 : x
  2. Step 2: Convert to fraction form
    6,225,624/13,632,264 = 13,632,264/x
  3. Step 3: Cross multiply
    6,225,624x = 13,632,264 × 13,632,264
  4. Step 4: Simplify right side
    6,225,624x = 185,838,621,765,696
  5. Step 5: Solve for x
    x = 185,838,621,765,696/6,225,624
  6. Step 6: Final answer
    x = 29,850,601.60

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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.