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Finding the Third Proportional to 12,811,023 and 27,985,950

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Solution

The third proportional to 12,811,023 and 27,985,950 is: 61,135,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811,023 : 27,985,950 = 27,985,950 : x
  2. Step 2: Convert to fraction form
    12,811,023/27,985,950 = 27,985,950/x
  3. Step 3: Cross multiply
    12,811,023x = 27,985,950 × 27,985,950
  4. Step 4: Simplify right side
    12,811,023x = 783,213,397,402,500
  5. Step 5: Solve for x
    x = 783,213,397,402,500/12,811,023
  6. Step 6: Final answer
    x = 61,135,898.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.