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Finding the Third Proportional to 14,199,569 and 31,102,063

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Solution

The third proportional to 14,199,569 and 31,102,063 is: 68,124,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199,569 : 31,102,063 = 31,102,063 : x
  2. Step 2: Convert to fraction form
    14,199,569/31,102,063 = 31,102,063/x
  3. Step 3: Cross multiply
    14,199,569x = 31,102,063 × 31,102,063
  4. Step 4: Simplify right side
    14,199,569x = 967,338,322,855,969
  5. Step 5: Solve for x
    x = 967,338,322,855,969/14,199,569
  6. Step 6: Final answer
    x = 68,124,484.82

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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.