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Finding the Third Proportional to 215,699,832 and 471,754,512

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Solution

The third proportional to 215,699,832 and 471,754,512 is: 1,031,768,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,699,832 : 471,754,512 = 471,754,512 : x
  2. Step 2: Convert to fraction form
    215,699,832/471,754,512 = 471,754,512/x
  3. Step 3: Cross multiply
    215,699,832x = 471,754,512 × 471,754,512
  4. Step 4: Simplify right side
    215,699,832x = 222,552,319,592,358,144
  5. Step 5: Solve for x
    x = 222,552,319,592,358,144/215,699,832
  6. Step 6: Final answer
    x = 1,031,768,627.40

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Why These Related Problems?

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