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Finding the Third Proportional to 37,103,294 and 57,775,170

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Solution

The third proportional to 37,103,294 and 57,775,170 is: 89,964,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103,294 : 57,775,170 = 57,775,170 : x
  2. Step 2: Convert to fraction form
    37,103,294/57,775,170 = 57,775,170/x
  3. Step 3: Cross multiply
    37,103,294x = 57,775,170 × 57,775,170
  4. Step 4: Simplify right side
    37,103,294x = 3,337,970,268,528,900
  5. Step 5: Solve for x
    x = 3,337,970,268,528,900/37,103,294
  6. Step 6: Final answer
    x = 89,964,256.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.