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Finding the Third Proportional to 14,560,953.50 and 31,597,051

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Solution

The third proportional to 14,560,953.50 and 31,597,051 is: 68,565,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560,953.50 : 31,597,051 = 31,597,051 : x
  2. Step 2: Convert to fraction form
    14,560,953.50/31,597,051 = 31,597,051/x
  3. Step 3: Cross multiply
    14,560,953.50x = 31,597,051 × 31,597,051
  4. Step 4: Simplify right side
    14,560,953.50x = 998,373,631,896,601
  5. Step 5: Solve for x
    x = 998,373,631,896,601/14,560,953.50
  6. Step 6: Final answer
    x = 68,565,127.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.