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Finding the Third Proportional to 31,195,734.75 and 67,323,838.50

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Solution

The third proportional to 31,195,734.75 and 67,323,838.50 is: 145,292,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,734.75 : 67,323,838.50 = 67,323,838.50 : x
  2. Step 2: Convert to fraction form
    31,195,734.75/67,323,838.50 = 67,323,838.50/x
  3. Step 3: Cross multiply
    31,195,734.75x = 67,323,838.50 × 67,323,838.50
  4. Step 4: Simplify right side
    31,195,734.75x = 4,532,499,230,374,082
  5. Step 5: Solve for x
    x = 4,532,499,230,374,082/31,195,734.75
  6. Step 6: Final answer
    x = 145,292,273.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.