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Finding the Third Proportional to 7,639,029 and 11,047,369.50

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Solution

The third proportional to 7,639,029 and 11,047,369.50 is: 15,976,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639,029 : 11,047,369.50 = 11,047,369.50 : x
  2. Step 2: Convert to fraction form
    7,639,029/11,047,369.50 = 11,047,369.50/x
  3. Step 3: Cross multiply
    7,639,029x = 11,047,369.50 × 11,047,369.50
  4. Step 4: Simplify right side
    7,639,029x = 122,044,372,869,530.25
  5. Step 5: Solve for x
    x = 122,044,372,869,530.25/7,639,029
  6. Step 6: Final answer
    x = 15,976,424.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.