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Finding the Third Proportional to 6,069,049.13 and 13,003,764.56

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Solution

The third proportional to 6,069,049.13 and 13,003,764.56 is: 27,862,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,049.13 : 13,003,764.56 = 13,003,764.56 : x
  2. Step 2: Convert to fraction form
    6,069,049.13/13,003,764.56 = 13,003,764.56/x
  3. Step 3: Cross multiply
    6,069,049.13x = 13,003,764.56 × 13,003,764.56
  4. Step 4: Simplify right side
    6,069,049.13x = 169,097,892,796,930.81
  5. Step 5: Solve for x
    x = 169,097,892,796,930.81/6,069,049.13
  6. Step 6: Final answer
    x = 27,862,337.13

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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.