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Finding the Third Proportional to 14,200,469 and 31,104,013

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Solution

The third proportional to 14,200,469 and 31,104,013 is: 68,128,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200,469 : 31,104,013 = 31,104,013 : x
  2. Step 2: Convert to fraction form
    14,200,469/31,104,013 = 31,104,013/x
  3. Step 3: Cross multiply
    14,200,469x = 31,104,013 × 31,104,013
  4. Step 4: Simplify right side
    14,200,469x = 967,459,624,704,169
  5. Step 5: Solve for x
    x = 967,459,624,704,169/14,200,469
  6. Step 6: Final answer
    x = 68,128,709.32

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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.