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Finding the Third Proportional to 288,414,359,562 and 423,981,902,964

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Solution

The third proportional to 288,414,359,562 and 423,981,902,964 is: 623,272,205,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414,359,562 : 423,981,902,964 = 423,981,902,964 : x
  2. Step 2: Convert to fraction form
    288,414,359,562/423,981,902,964 = 423,981,902,964/x
  3. Step 3: Cross multiply
    288,414,359,562x = 423,981,902,964 × 423,981,902,964
  4. Step 4: Simplify right side
    288,414,359,562x = 179,760,654,040,974,728,626,176
  5. Step 5: Solve for x
    x = 179,760,654,040,974,728,626,176/288,414,359,562
  6. Step 6: Final answer
    x = 623,272,205,704.21

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Why These Related Problems?

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