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Finding the Third Proportional to 57,570,275 and 82,326,170

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Solution

The third proportional to 57,570,275 and 82,326,170 is: 117,727,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570,275 : 82,326,170 = 82,326,170 : x
  2. Step 2: Convert to fraction form
    57,570,275/82,326,170 = 82,326,170/x
  3. Step 3: Cross multiply
    57,570,275x = 82,326,170 × 82,326,170
  4. Step 4: Simplify right side
    57,570,275x = 6,777,598,266,868,900
  5. Step 5: Solve for x
    x = 6,777,598,266,868,900/57,570,275
  6. Step 6: Final answer
    x = 117,727,390.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.