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Finding the Third Proportional to 52,214,978 and 108,720,964

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Solution

The third proportional to 52,214,978 and 108,720,964 is: 226,376,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214,978 : 108,720,964 = 108,720,964 : x
  2. Step 2: Convert to fraction form
    52,214,978/108,720,964 = 108,720,964/x
  3. Step 3: Cross multiply
    52,214,978x = 108,720,964 × 108,720,964
  4. Step 4: Simplify right side
    52,214,978x = 11,820,248,013,089,296
  5. Step 5: Solve for x
    x = 11,820,248,013,089,296/52,214,978
  6. Step 6: Final answer
    x = 226,376,577.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.