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Finding the Third Proportional to 274,612,070.81 and 414,471,902.06

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Solution

The third proportional to 274,612,070.81 and 414,471,902.06 is: 625,562,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,612,070.81 : 414,471,902.06 = 414,471,902.06 : x
  2. Step 2: Convert to fraction form
    274,612,070.81/414,471,902.06 = 414,471,902.06/x
  3. Step 3: Cross multiply
    274,612,070.81x = 414,471,902.06 × 414,471,902.06
  4. Step 4: Simplify right side
    274,612,070.81x = 171,786,957,599,306,592
  5. Step 5: Solve for x
    x = 171,786,957,599,306,592/274,612,070.81
  6. Step 6: Final answer
    x = 625,562,296.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.