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Finding the Third Proportional to 214,680,216 and 471,534,972

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Solution

The third proportional to 214,680,216 and 471,534,972 is: 1,035,704,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,680,216 : 471,534,972 = 471,534,972 : x
  2. Step 2: Convert to fraction form
    214,680,216/471,534,972 = 471,534,972/x
  3. Step 3: Cross multiply
    214,680,216x = 471,534,972 × 471,534,972
  4. Step 4: Simplify right side
    214,680,216x = 222,345,229,819,040,768
  5. Step 5: Solve for x
    x = 222,345,229,819,040,768/214,680,216
  6. Step 6: Final answer
    x = 1,035,704,332.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.