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Finding the Third Proportional to 6,059,812 and 13,464,817

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Solution

The third proportional to 6,059,812 and 13,464,817 is: 29,918,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059,812 : 13,464,817 = 13,464,817 : x
  2. Step 2: Convert to fraction form
    6,059,812/13,464,817 = 13,464,817/x
  3. Step 3: Cross multiply
    6,059,812x = 13,464,817 × 13,464,817
  4. Step 4: Simplify right side
    6,059,812x = 181,301,296,843,489
  5. Step 5: Solve for x
    x = 181,301,296,843,489/6,059,812
  6. Step 6: Final answer
    x = 29,918,633.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.