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Finding the Third Proportional to 31,073,548.50 and 47,042,178.75

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Solution

The third proportional to 31,073,548.50 and 47,042,178.75 is: 71,217,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073,548.50 : 47,042,178.75 = 47,042,178.75 : x
  2. Step 2: Convert to fraction form
    31,073,548.50/47,042,178.75 = 47,042,178.75/x
  3. Step 3: Cross multiply
    31,073,548.50x = 47,042,178.75 × 47,042,178.75
  4. Step 4: Simplify right side
    31,073,548.50x = 2,212,966,581,546,951.50
  5. Step 5: Solve for x
    x = 2,212,966,581,546,951.50/31,073,548.50
  6. Step 6: Final answer
    x = 71,217,054.00

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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.