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Finding the Third Proportional to 17,680,362 and 24,955,731

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Solution

The third proportional to 17,680,362 and 24,955,731 is: 35,224,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680,362 : 24,955,731 = 24,955,731 : x
  2. Step 2: Convert to fraction form
    17,680,362/24,955,731 = 24,955,731/x
  3. Step 3: Cross multiply
    17,680,362x = 24,955,731 × 24,955,731
  4. Step 4: Simplify right side
    17,680,362x = 622,788,509,744,361
  5. Step 5: Solve for x
    x = 622,788,509,744,361/17,680,362
  6. Step 6: Final answer
    x = 35,224,873.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.