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Finding the Third Proportional to 6,356,469 and 13,901,266.50

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Solution

The third proportional to 6,356,469 and 13,901,266.50 is: 30,401,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356,469 : 13,901,266.50 = 13,901,266.50 : x
  2. Step 2: Convert to fraction form
    6,356,469/13,901,266.50 = 13,901,266.50/x
  3. Step 3: Cross multiply
    6,356,469x = 13,901,266.50 × 13,901,266.50
  4. Step 4: Simplify right side
    6,356,469x = 193,245,210,304,022.25
  5. Step 5: Solve for x
    x = 193,245,210,304,022.25/6,356,469
  6. Step 6: Final answer
    x = 30,401,345.51

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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.