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Finding the Third Proportional to 13,843,586 and 30,178,165

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Solution

The third proportional to 13,843,586 and 30,178,165 is: 65,786,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843,586 : 30,178,165 = 30,178,165 : x
  2. Step 2: Convert to fraction form
    13,843,586/30,178,165 = 30,178,165/x
  3. Step 3: Cross multiply
    13,843,586x = 30,178,165 × 30,178,165
  4. Step 4: Simplify right side
    13,843,586x = 910,721,642,767,225
  5. Step 5: Solve for x
    x = 910,721,642,767,225/13,843,586
  6. Step 6: Final answer
    x = 65,786,541.35

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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.