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Finding the Third Proportional to 6,082,953.50 and 9,415,618.50

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Solution

The third proportional to 6,082,953.50 and 9,415,618.50 is: 14,574,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082,953.50 : 9,415,618.50 = 9,415,618.50 : x
  2. Step 2: Convert to fraction form
    6,082,953.50/9,415,618.50 = 9,415,618.50/x
  3. Step 3: Cross multiply
    6,082,953.50x = 9,415,618.50 × 9,415,618.50
  4. Step 4: Simplify right side
    6,082,953.50x = 88,653,871,737,542.25
  5. Step 5: Solve for x
    x = 88,653,871,737,542.25/6,082,953.50
  6. Step 6: Final answer
    x = 14,574,149.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.