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Finding the Third Proportional to 14,727,042 and 31,500,954

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Solution

The third proportional to 14,727,042 and 31,500,954 is: 67,380,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727,042 : 31,500,954 = 31,500,954 : x
  2. Step 2: Convert to fraction form
    14,727,042/31,500,954 = 31,500,954/x
  3. Step 3: Cross multiply
    14,727,042x = 31,500,954 × 31,500,954
  4. Step 4: Simplify right side
    14,727,042x = 992,310,102,910,116
  5. Step 5: Solve for x
    x = 992,310,102,910,116/14,727,042
  6. Step 6: Final answer
    x = 67,380,136.68

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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.