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Finding the Third Proportional to 5,761,590 and 12,586,224

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Solution

The third proportional to 5,761,590 and 12,586,224 is: 27,494,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761,590 : 12,586,224 = 12,586,224 : x
  2. Step 2: Convert to fraction form
    5,761,590/12,586,224 = 12,586,224/x
  3. Step 3: Cross multiply
    5,761,590x = 12,586,224 × 12,586,224
  4. Step 4: Simplify right side
    5,761,590x = 158,413,034,578,176
  5. Step 5: Solve for x
    x = 158,413,034,578,176/5,761,590
  6. Step 6: Final answer
    x = 27,494,673.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.