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Finding the Third Proportional to 37,711,971.56 and 57,664,465.31

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Solution

The third proportional to 37,711,971.56 and 57,664,465.31 is: 88,173,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,711,971.56 : 57,664,465.31 = 57,664,465.31 : x
  2. Step 2: Convert to fraction form
    37,711,971.56/57,664,465.31 = 57,664,465.31/x
  3. Step 3: Cross multiply
    37,711,971.56x = 57,664,465.31 × 57,664,465.31
  4. Step 4: Simplify right side
    37,711,971.56x = 3,325,190,559,776,515.50
  5. Step 5: Solve for x
    x = 3,325,190,559,776,515.50/37,711,971.56
  6. Step 6: Final answer
    x = 88,173,341.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.