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Finding the Third Proportional to 6,121,699 and 13,345,648

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Solution

The third proportional to 6,121,699 and 13,345,648 is: 29,094,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,699 : 13,345,648 = 13,345,648 : x
  2. Step 2: Convert to fraction form
    6,121,699/13,345,648 = 13,345,648/x
  3. Step 3: Cross multiply
    6,121,699x = 13,345,648 × 13,345,648
  4. Step 4: Simplify right side
    6,121,699x = 178,106,320,539,904
  5. Step 5: Solve for x
    x = 178,106,320,539,904/6,121,699
  6. Step 6: Final answer
    x = 29,094,262.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.