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Finding the Third Proportional to 31,330,867.50 and 47,897,021.25

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Solution

The third proportional to 31,330,867.50 and 47,897,021.25 is: 73,222,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330,867.50 : 47,897,021.25 = 47,897,021.25 : x
  2. Step 2: Convert to fraction form
    31,330,867.50/47,897,021.25 = 47,897,021.25/x
  3. Step 3: Cross multiply
    31,330,867.50x = 47,897,021.25 × 47,897,021.25
  4. Step 4: Simplify right side
    31,330,867.50x = 2,294,124,644,622,951.50
  5. Step 5: Solve for x
    x = 2,294,124,644,622,951.50/31,330,867.50
  6. Step 6: Final answer
    x = 73,222,506.35

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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.