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Finding the Third Proportional to 6,523,578 and 13,886,964

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Solution

The third proportional to 6,523,578 and 13,886,964 is: 29,561,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523,578 : 13,886,964 = 13,886,964 : x
  2. Step 2: Convert to fraction form
    6,523,578/13,886,964 = 13,886,964/x
  3. Step 3: Cross multiply
    6,523,578x = 13,886,964 × 13,886,964
  4. Step 4: Simplify right side
    6,523,578x = 192,847,769,137,296
  5. Step 5: Solve for x
    x = 192,847,769,137,296/6,523,578
  6. Step 6: Final answer
    x = 29,561,656.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.