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Finding the Third Proportional to 13,736,529 and 27,127,332

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Solution

The third proportional to 13,736,529 and 27,127,332 is: 53,571,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736,529 : 27,127,332 = 27,127,332 : x
  2. Step 2: Convert to fraction form
    13,736,529/27,127,332 = 27,127,332/x
  3. Step 3: Cross multiply
    13,736,529x = 27,127,332 × 27,127,332
  4. Step 4: Simplify right side
    13,736,529x = 735,892,141,438,224
  5. Step 5: Solve for x
    x = 735,892,141,438,224/13,736,529
  6. Step 6: Final answer
    x = 53,571,913.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.