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Finding the Third Proportional to 7,561,569 and 16,592,802

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Solution

The third proportional to 7,561,569 and 16,592,802 is: 36,410,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561,569 : 16,592,802 = 16,592,802 : x
  2. Step 2: Convert to fraction form
    7,561,569/16,592,802 = 16,592,802/x
  3. Step 3: Cross multiply
    7,561,569x = 16,592,802 × 16,592,802
  4. Step 4: Simplify right side
    7,561,569x = 275,321,078,211,204
  5. Step 5: Solve for x
    x = 275,321,078,211,204/7,561,569
  6. Step 6: Final answer
    x = 36,410,575.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.