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Finding the Third Proportional to 31,984,398 and 49,131,558

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Solution

The third proportional to 31,984,398 and 49,131,558 is: 75,471,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,398 : 49,131,558 = 49,131,558 : x
  2. Step 2: Convert to fraction form
    31,984,398/49,131,558 = 49,131,558/x
  3. Step 3: Cross multiply
    31,984,398x = 49,131,558 × 49,131,558
  4. Step 4: Simplify right side
    31,984,398x = 2,413,909,991,507,364
  5. Step 5: Solve for x
    x = 2,413,909,991,507,364/31,984,398
  6. Step 6: Final answer
    x = 75,471,484.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.