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Finding the Third Proportional to 37,208,064 and 78,919,296

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Solution

The third proportional to 37,208,064 and 78,919,296 is: 167,389,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,208,064 : 78,919,296 = 78,919,296 : x
  2. Step 2: Convert to fraction form
    37,208,064/78,919,296 = 78,919,296/x
  3. Step 3: Cross multiply
    37,208,064x = 78,919,296 × 78,919,296
  4. Step 4: Simplify right side
    37,208,064x = 6,228,255,281,135,616
  5. Step 5: Solve for x
    x = 6,228,255,281,135,616/37,208,064
  6. Step 6: Final answer
    x = 167,389,931.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.