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Finding the Third Proportional to 6,458,647 and 13,844,595

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Solution

The third proportional to 6,458,647 and 13,844,595 is: 29,676,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,647 : 13,844,595 = 13,844,595 : x
  2. Step 2: Convert to fraction form
    6,458,647/13,844,595 = 13,844,595/x
  3. Step 3: Cross multiply
    6,458,647x = 13,844,595 × 13,844,595
  4. Step 4: Simplify right side
    6,458,647x = 191,672,810,714,025
  5. Step 5: Solve for x
    x = 191,672,810,714,025/6,458,647
  6. Step 6: Final answer
    x = 29,676,929.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.