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Finding the Third Proportional to 13,497,638 and 29,043,642

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Solution

The third proportional to 13,497,638 and 29,043,642 is: 62,494,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497,638 : 29,043,642 = 29,043,642 : x
  2. Step 2: Convert to fraction form
    13,497,638/29,043,642 = 29,043,642/x
  3. Step 3: Cross multiply
    13,497,638x = 29,043,642 × 29,043,642
  4. Step 4: Simplify right side
    13,497,638x = 843,533,140,624,164
  5. Step 5: Solve for x
    x = 843,533,140,624,164/13,497,638
  6. Step 6: Final answer
    x = 62,494,870.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.