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Finding the Third Proportional to 6,129,747.28 and 13,006,674.56

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Solution

The third proportional to 6,129,747.28 and 13,006,674.56 is: 27,598,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129,747.28 : 13,006,674.56 = 13,006,674.56 : x
  2. Step 2: Convert to fraction form
    6,129,747.28/13,006,674.56 = 13,006,674.56/x
  3. Step 3: Cross multiply
    6,129,747.28x = 13,006,674.56 × 13,006,674.56
  4. Step 4: Simplify right side
    6,129,747.28x = 169,173,583,174,784.56
  5. Step 5: Solve for x
    x = 169,173,583,174,784.56/6,129,747.28
  6. Step 6: Final answer
    x = 27,598,785.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.