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Finding the Third Proportional to 52,430,996 and 81,406,974

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Solution

The third proportional to 52,430,996 and 81,406,974 is: 126,396,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,430,996 : 81,406,974 = 81,406,974 : x
  2. Step 2: Convert to fraction form
    52,430,996/81,406,974 = 81,406,974/x
  3. Step 3: Cross multiply
    52,430,996x = 81,406,974 × 81,406,974
  4. Step 4: Simplify right side
    52,430,996x = 6,627,095,415,836,676
  5. Step 5: Solve for x
    x = 6,627,095,415,836,676/52,430,996
  6. Step 6: Final answer
    x = 126,396,519.64

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Why These Related Problems?

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