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Finding the Third Proportional to 12,762,964.50 and 27,319,956

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Solution

The third proportional to 12,762,964.50 and 27,319,956 is: 58,480,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762,964.50 : 27,319,956 = 27,319,956 : x
  2. Step 2: Convert to fraction form
    12,762,964.50/27,319,956 = 27,319,956/x
  3. Step 3: Cross multiply
    12,762,964.50x = 27,319,956 × 27,319,956
  4. Step 4: Simplify right side
    12,762,964.50x = 746,379,995,841,936
  5. Step 5: Solve for x
    x = 746,379,995,841,936/12,762,964.50
  6. Step 6: Final answer
    x = 58,480,143.53

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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.