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Finding the Third Proportional to 5,457,242 and 11,882,654

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Solution

The third proportional to 5,457,242 and 11,882,654 is: 25,873,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457,242 : 11,882,654 = 11,882,654 : x
  2. Step 2: Convert to fraction form
    5,457,242/11,882,654 = 11,882,654/x
  3. Step 3: Cross multiply
    5,457,242x = 11,882,654 × 11,882,654
  4. Step 4: Simplify right side
    5,457,242x = 141,197,466,083,716
  5. Step 5: Solve for x
    x = 141,197,466,083,716/5,457,242
  6. Step 6: Final answer
    x = 25,873,411.16

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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.