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Finding the Third Proportional to 5,671,586 and 8,717,619

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Solution

The third proportional to 5,671,586 and 8,717,619 is: 13,399,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,586 : 8,717,619 = 8,717,619 : x
  2. Step 2: Convert to fraction form
    5,671,586/8,717,619 = 8,717,619/x
  3. Step 3: Cross multiply
    5,671,586x = 8,717,619 × 8,717,619
  4. Step 4: Simplify right side
    5,671,586x = 75,996,881,029,161
  5. Step 5: Solve for x
    x = 75,996,881,029,161/5,671,586
  6. Step 6: Final answer
    x = 13,399,581.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.