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Finding the Third Proportional to 7,561,520 and 16,592,704

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Solution

The third proportional to 7,561,520 and 16,592,704 is: 36,410,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561,520 : 16,592,704 = 16,592,704 : x
  2. Step 2: Convert to fraction form
    7,561,520/16,592,704 = 16,592,704/x
  3. Step 3: Cross multiply
    7,561,520x = 16,592,704 × 16,592,704
  4. Step 4: Simplify right side
    7,561,520x = 275,317,826,031,616
  5. Step 5: Solve for x
    x = 275,317,826,031,616/7,561,520
  6. Step 6: Final answer
    x = 36,410,381.25

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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.