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Finding the Third Proportional to 6,510,094.13 and 13,917,040.13

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Solution

The third proportional to 6,510,094.13 and 13,917,040.13 is: 29,751,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510,094.13 : 13,917,040.13 = 13,917,040.13 : x
  2. Step 2: Convert to fraction form
    6,510,094.13/13,917,040.13 = 13,917,040.13/x
  3. Step 3: Cross multiply
    6,510,094.13x = 13,917,040.13 × 13,917,040.13
  4. Step 4: Simplify right side
    6,510,094.13x = 193,684,005,840,860
  5. Step 5: Solve for x
    x = 193,684,005,840,860/6,510,094.13
  6. Step 6: Final answer
    x = 29,751,337.25

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