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Finding the Third Proportional to 215,051,940 and 471,907,632

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Solution

The third proportional to 215,051,940 and 471,907,632 is: 1,035,548,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,051,940 : 471,907,632 = 471,907,632 : x
  2. Step 2: Convert to fraction form
    215,051,940/471,907,632 = 471,907,632/x
  3. Step 3: Cross multiply
    215,051,940x = 471,907,632 × 471,907,632
  4. Step 4: Simplify right side
    215,051,940x = 222,696,813,139,847,424
  5. Step 5: Solve for x
    x = 222,696,813,139,847,424/215,051,940
  6. Step 6: Final answer
    x = 1,035,548,961.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.