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Finding the Third Proportional to 16,843,416 and 37,045,296

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Solution

The third proportional to 16,843,416 and 37,045,296 is: 81,477,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843,416 : 37,045,296 = 37,045,296 : x
  2. Step 2: Convert to fraction form
    16,843,416/37,045,296 = 37,045,296/x
  3. Step 3: Cross multiply
    16,843,416x = 37,045,296 × 37,045,296
  4. Step 4: Simplify right side
    16,843,416x = 1,372,353,955,727,616
  5. Step 5: Solve for x
    x = 1,372,353,955,727,616/16,843,416
  6. Step 6: Final answer
    x = 81,477,175.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.