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Finding the Third Proportional to 6,467,715 and 13,803,129

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Solution

The third proportional to 6,467,715 and 13,803,129 is: 29,458,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,715 : 13,803,129 = 13,803,129 : x
  2. Step 2: Convert to fraction form
    6,467,715/13,803,129 = 13,803,129/x
  3. Step 3: Cross multiply
    6,467,715x = 13,803,129 × 13,803,129
  4. Step 4: Simplify right side
    6,467,715x = 190,526,370,190,641
  5. Step 5: Solve for x
    x = 190,526,370,190,641/6,467,715
  6. Step 6: Final answer
    x = 29,458,065.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.