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Finding the Third Proportional to 288,414,359,568 and 423,981,902,972

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Solution

The third proportional to 288,414,359,568 and 423,981,902,972 is: 623,272,205,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414,359,568 : 423,981,902,972 = 423,981,902,972 : x
  2. Step 2: Convert to fraction form
    288,414,359,568/423,981,902,972 = 423,981,902,972/x
  3. Step 3: Cross multiply
    288,414,359,568x = 423,981,902,972 × 423,981,902,972
  4. Step 4: Simplify right side
    288,414,359,568x = 179,760,654,047,758,428,143,616
  5. Step 5: Solve for x
    x = 179,760,654,047,758,428,143,616/288,414,359,568
  6. Step 6: Final answer
    x = 623,272,205,714.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.