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Finding the Third Proportional to 215,618,562 and 469,015,716

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Solution

The third proportional to 215,618,562 and 469,015,716 is: 1,020,207,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,618,562 : 469,015,716 = 469,015,716 : x
  2. Step 2: Convert to fraction form
    215,618,562/469,015,716 = 469,015,716/x
  3. Step 3: Cross multiply
    215,618,562x = 469,015,716 × 469,015,716
  4. Step 4: Simplify right side
    215,618,562x = 219,975,741,854,992,640
  5. Step 5: Solve for x
    x = 219,975,741,854,992,640/215,618,562
  6. Step 6: Final answer
    x = 1,020,207,814.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.