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Finding the Third Proportional to 52,430,997.50 and 81,406,976

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Solution

The third proportional to 52,430,997.50 and 81,406,976 is: 126,396,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,430,997.50 : 81,406,976 = 81,406,976 : x
  2. Step 2: Convert to fraction form
    52,430,997.50/81,406,976 = 81,406,976/x
  3. Step 3: Cross multiply
    52,430,997.50x = 81,406,976 × 81,406,976
  4. Step 4: Simplify right side
    52,430,997.50x = 6,627,095,741,464,576
  5. Step 5: Solve for x
    x = 6,627,095,741,464,576/52,430,997.50
  6. Step 6: Final answer
    x = 126,396,522.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.