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Finding the Third Proportional to 8,235,325 and 11,880,541.50

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Solution

The third proportional to 8,235,325 and 11,880,541.50 is: 17,139,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235,325 : 11,880,541.50 = 11,880,541.50 : x
  2. Step 2: Convert to fraction form
    8,235,325/11,880,541.50 = 11,880,541.50/x
  3. Step 3: Cross multiply
    8,235,325x = 11,880,541.50 × 11,880,541.50
  4. Step 4: Simplify right side
    8,235,325x = 141,147,266,333,222.25
  5. Step 5: Solve for x
    x = 141,147,266,333,222.25/8,235,325
  6. Step 6: Final answer
    x = 17,139,246.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.