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Finding the Third Proportional to 135,084,972 and 318,567,900

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Solution

The third proportional to 135,084,972 and 318,567,900 is: 751,271,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,084,972 : 318,567,900 = 318,567,900 : x
  2. Step 2: Convert to fraction form
    135,084,972/318,567,900 = 318,567,900/x
  3. Step 3: Cross multiply
    135,084,972x = 318,567,900 × 318,567,900
  4. Step 4: Simplify right side
    135,084,972x = 101,485,506,910,410,000
  5. Step 5: Solve for x
    x = 101,485,506,910,410,000/135,084,972
  6. Step 6: Final answer
    x = 751,271,628.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.