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Finding the Third Proportional to 14,497,936 and 23,032,536

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Solution

The third proportional to 14,497,936 and 23,032,536 is: 36,591,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497,936 : 23,032,536 = 23,032,536 : x
  2. Step 2: Convert to fraction form
    14,497,936/23,032,536 = 23,032,536/x
  3. Step 3: Cross multiply
    14,497,936x = 23,032,536 × 23,032,536
  4. Step 4: Simplify right side
    14,497,936x = 530,497,714,591,296
  5. Step 5: Solve for x
    x = 530,497,714,591,296/14,497,936
  6. Step 6: Final answer
    x = 36,591,257.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.