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Finding the Third Proportional to 4,640,661 and 7,170,997.50

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Solution

The third proportional to 4,640,661 and 7,170,997.50 is: 11,081,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,661 : 7,170,997.50 = 7,170,997.50 : x
  2. Step 2: Convert to fraction form
    4,640,661/7,170,997.50 = 7,170,997.50/x
  3. Step 3: Cross multiply
    4,640,661x = 7,170,997.50 × 7,170,997.50
  4. Step 4: Simplify right side
    4,640,661x = 51,423,205,145,006.25
  5. Step 5: Solve for x
    x = 51,423,205,145,006.25/4,640,661
  6. Step 6: Final answer
    x = 11,081,008.75

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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.