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Finding the Third Proportional to 14,476,413 and 31,176,965

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Solution

The third proportional to 14,476,413 and 31,176,965 is: 67,143,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476,413 : 31,176,965 = 31,176,965 : x
  2. Step 2: Convert to fraction form
    14,476,413/31,176,965 = 31,176,965/x
  3. Step 3: Cross multiply
    14,476,413x = 31,176,965 × 31,176,965
  4. Step 4: Simplify right side
    14,476,413x = 972,003,146,611,225
  5. Step 5: Solve for x
    x = 972,003,146,611,225/14,476,413
  6. Step 6: Final answer
    x = 67,143,922.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.