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Finding the Third Proportional to 37,919,968.50 and 57,278,464.50

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Solution

The third proportional to 37,919,968.50 and 57,278,464.50 is: 86,519,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,919,968.50 : 57,278,464.50 = 57,278,464.50 : x
  2. Step 2: Convert to fraction form
    37,919,968.50/57,278,464.50 = 57,278,464.50/x
  3. Step 3: Cross multiply
    37,919,968.50x = 57,278,464.50 × 57,278,464.50
  4. Step 4: Simplify right side
    37,919,968.50x = 3,280,822,495,477,760
  5. Step 5: Solve for x
    x = 3,280,822,495,477,760/37,919,968.50
  6. Step 6: Final answer
    x = 86,519,652.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.