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Finding the Third Proportional to 49,947,199,380 and 71,791,656,966

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Solution

The third proportional to 49,947,199,380 and 71,791,656,966 is: 103,189,809,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,947,199,380 : 71,791,656,966 = 71,791,656,966 : x
  2. Step 2: Convert to fraction form
    49,947,199,380/71,791,656,966 = 71,791,656,966/x
  3. Step 3: Cross multiply
    49,947,199,380x = 71,791,656,966 × 71,791,656,966
  4. Step 4: Simplify right side
    49,947,199,380x = 5,154,042,009,923,815,997,440
  5. Step 5: Solve for x
    x = 5,154,042,009,923,815,997,440/49,947,199,380
  6. Step 6: Final answer
    x = 103,189,809,917.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.