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Finding the Third Proportional to 7,139,407.50 and 10,876,506.75

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Solution

The third proportional to 7,139,407.50 and 10,876,506.75 is: 16,569,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139,407.50 : 10,876,506.75 = 10,876,506.75 : x
  2. Step 2: Convert to fraction form
    7,139,407.50/10,876,506.75 = 10,876,506.75/x
  3. Step 3: Cross multiply
    7,139,407.50x = 10,876,506.75 × 10,876,506.75
  4. Step 4: Simplify right side
    7,139,407.50x = 118,298,399,082,795.56
  5. Step 5: Solve for x
    x = 118,298,399,082,795.56/7,139,407.50
  6. Step 6: Final answer
    x = 16,569,778.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.