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Finding the Third Proportional to 37,480,953 and 83,575,086

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Solution

The third proportional to 37,480,953 and 83,575,086 is: 186,355,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,480,953 : 83,575,086 = 83,575,086 : x
  2. Step 2: Convert to fraction form
    37,480,953/83,575,086 = 83,575,086/x
  3. Step 3: Cross multiply
    37,480,953x = 83,575,086 × 83,575,086
  4. Step 4: Simplify right side
    37,480,953x = 6,984,794,999,907,396
  5. Step 5: Solve for x
    x = 6,984,794,999,907,396/37,480,953
  6. Step 6: Final answer
    x = 186,355,853.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.