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Finding the Third Proportional to 4,640,663 and 7,171,001

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Solution

The third proportional to 4,640,663 and 7,171,001 is: 11,081,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,663 : 7,171,001 = 7,171,001 : x
  2. Step 2: Convert to fraction form
    4,640,663/7,171,001 = 7,171,001/x
  3. Step 3: Cross multiply
    4,640,663x = 7,171,001 × 7,171,001
  4. Step 4: Simplify right side
    4,640,663x = 51,423,255,342,001
  5. Step 5: Solve for x
    x = 51,423,255,342,001/4,640,663
  6. Step 6: Final answer
    x = 11,081,014.79

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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.