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Finding the Third Proportional to 6,059,815 and 13,464,823

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Solution

The third proportional to 6,059,815 and 13,464,823 is: 29,918,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059,815 : 13,464,823 = 13,464,823 : x
  2. Step 2: Convert to fraction form
    6,059,815/13,464,823 = 13,464,823/x
  3. Step 3: Cross multiply
    6,059,815x = 13,464,823 × 13,464,823
  4. Step 4: Simplify right side
    6,059,815x = 181,301,458,421,329
  5. Step 5: Solve for x
    x = 181,301,458,421,329/6,059,815
  6. Step 6: Final answer
    x = 29,918,645.77

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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.