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Finding the Third Proportional to 6,069,014.70 and 13,003,696.97

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Solution

The third proportional to 6,069,014.70 and 13,003,696.97 is: 27,862,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,014.70 : 13,003,696.97 = 13,003,696.97 : x
  2. Step 2: Convert to fraction form
    6,069,014.70/13,003,696.97 = 13,003,696.97/x
  3. Step 3: Cross multiply
    6,069,014.70x = 13,003,696.97 × 13,003,696.97
  4. Step 4: Simplify right side
    6,069,014.70x = 169,096,134,855,077.94
  5. Step 5: Solve for x
    x = 169,096,134,855,077.94/6,069,014.70
  6. Step 6: Final answer
    x = 27,862,205.51

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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.