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Finding the Third Proportional to 1,017,723,852 and 1,556,184,150

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Solution

The third proportional to 1,017,723,852 and 1,556,184,150 is: 2,379,534,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,723,852 : 1,556,184,150 = 1,556,184,150 : x
  2. Step 2: Convert to fraction form
    1,017,723,852/1,556,184,150 = 1,556,184,150/x
  3. Step 3: Cross multiply
    1,017,723,852x = 1,556,184,150 × 1,556,184,150
  4. Step 4: Simplify right side
    1,017,723,852x = 2,421,709,108,711,222,272
  5. Step 5: Solve for x
    x = 2,421,709,108,711,222,272/1,017,723,852
  6. Step 6: Final answer
    x = 2,379,534,589.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.