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Finding the Third Proportional to 57,570,358.50 and 82,326,291.75

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Solution

The third proportional to 57,570,358.50 and 82,326,291.75 is: 117,727,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570,358.50 : 82,326,291.75 = 82,326,291.75 : x
  2. Step 2: Convert to fraction form
    57,570,358.50/82,326,291.75 = 82,326,291.75/x
  3. Step 3: Cross multiply
    57,570,358.50x = 82,326,291.75 × 82,326,291.75
  4. Step 4: Simplify right side
    57,570,358.50x = 6,777,618,313,306,118
  5. Step 5: Solve for x
    x = 6,777,618,313,306,118/57,570,358.50
  6. Step 6: Final answer
    x = 117,727,568.32

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