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Finding the Third Proportional to 37,502,296 and 56,353,292

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Solution

The third proportional to 37,502,296 and 56,353,292 is: 84,679,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,502,296 : 56,353,292 = 56,353,292 : x
  2. Step 2: Convert to fraction form
    37,502,296/56,353,292 = 56,353,292/x
  3. Step 3: Cross multiply
    37,502,296x = 56,353,292 × 56,353,292
  4. Step 4: Simplify right side
    37,502,296x = 3,175,693,519,237,264
  5. Step 5: Solve for x
    x = 3,175,693,519,237,264/37,502,296
  6. Step 6: Final answer
    x = 84,679,975.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.