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Finding the Third Proportional to 47,469,572 and 97,455,652

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Solution

The third proportional to 47,469,572 and 97,455,652 is: 200,077,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,572 : 97,455,652 = 97,455,652 : x
  2. Step 2: Convert to fraction form
    47,469,572/97,455,652 = 97,455,652/x
  3. Step 3: Cross multiply
    47,469,572x = 97,455,652 × 97,455,652
  4. Step 4: Simplify right side
    47,469,572x = 9,497,604,106,745,104
  5. Step 5: Solve for x
    x = 9,497,604,106,745,104/47,469,572
  6. Step 6: Final answer
    x = 200,077,727.83

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.