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Finding the Third Proportional to 4,640,670 and 7,171,011

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Solution

The third proportional to 4,640,670 and 7,171,011 is: 11,081,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,670 : 7,171,011 = 7,171,011 : x
  2. Step 2: Convert to fraction form
    4,640,670/7,171,011 = 7,171,011/x
  3. Step 3: Cross multiply
    4,640,670x = 7,171,011 × 7,171,011
  4. Step 4: Simplify right side
    4,640,670x = 51,423,398,762,121
  5. Step 5: Solve for x
    x = 51,423,398,762,121/4,640,670
  6. Step 6: Final answer
    x = 11,081,028.98

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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.