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Finding the Third Proportional to 6,210,009 and 14,505,464

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Solution

The third proportional to 6,210,009 and 14,505,464 is: 33,882,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210,009 : 14,505,464 = 14,505,464 : x
  2. Step 2: Convert to fraction form
    6,210,009/14,505,464 = 14,505,464/x
  3. Step 3: Cross multiply
    6,210,009x = 14,505,464 × 14,505,464
  4. Step 4: Simplify right side
    6,210,009x = 210,408,485,855,296
  5. Step 5: Solve for x
    x = 210,408,485,855,296/6,210,009
  6. Step 6: Final answer
    x = 33,882,154.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.