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Finding the Third Proportional to 57,570,275.50 and 82,326,171

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Solution

The third proportional to 57,570,275.50 and 82,326,171 is: 117,727,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570,275.50 : 82,326,171 = 82,326,171 : x
  2. Step 2: Convert to fraction form
    57,570,275.50/82,326,171 = 82,326,171/x
  3. Step 3: Cross multiply
    57,570,275.50x = 82,326,171 × 82,326,171
  4. Step 4: Simplify right side
    57,570,275.50x = 6,777,598,431,521,241
  5. Step 5: Solve for x
    x = 6,777,598,431,521,241/57,570,275.50
  6. Step 6: Final answer
    x = 117,727,392.70

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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.