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Finding the Third Proportional to 215,654,967 and 472,359,822.75

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Solution

The third proportional to 215,654,967 and 472,359,822.75 is: 1,034,633,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,654,967 : 472,359,822.75 = 472,359,822.75 : x
  2. Step 2: Convert to fraction form
    215,654,967/472,359,822.75 = 472,359,822.75/x
  3. Step 3: Cross multiply
    215,654,967x = 472,359,822.75 × 472,359,822.75
  4. Step 4: Simplify right side
    215,654,967x = 223,123,802,148,411,424
  5. Step 5: Solve for x
    x = 223,123,802,148,411,424/215,654,967
  6. Step 6: Final answer
    x = 1,034,633,262.81

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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.