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Finding the Third Proportional to 13,494,328 and 29,384,640

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Solution

The third proportional to 13,494,328 and 29,384,640 is: 63,986,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494,328 : 29,384,640 = 29,384,640 : x
  2. Step 2: Convert to fraction form
    13,494,328/29,384,640 = 29,384,640/x
  3. Step 3: Cross multiply
    13,494,328x = 29,384,640 × 29,384,640
  4. Step 4: Simplify right side
    13,494,328x = 863,457,067,929,600
  5. Step 5: Solve for x
    x = 863,457,067,929,600/13,494,328
  6. Step 6: Final answer
    x = 63,986,666.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.