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Finding the Third Proportional to 7,583,578 and 16,230,039

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Solution

The third proportional to 7,583,578 and 16,230,039 is: 34,734,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,578 : 16,230,039 = 16,230,039 : x
  2. Step 2: Convert to fraction form
    7,583,578/16,230,039 = 16,230,039/x
  3. Step 3: Cross multiply
    7,583,578x = 16,230,039 × 16,230,039
  4. Step 4: Simplify right side
    7,583,578x = 263,414,165,941,521
  5. Step 5: Solve for x
    x = 263,414,165,941,521/7,583,578
  6. Step 6: Final answer
    x = 34,734,813.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.