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Finding the Third Proportional to 13,097,217 and 27,551,772

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Solution

The third proportional to 13,097,217 and 27,551,772 is: 57,958,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097,217 : 27,551,772 = 27,551,772 : x
  2. Step 2: Convert to fraction form
    13,097,217/27,551,772 = 27,551,772/x
  3. Step 3: Cross multiply
    13,097,217x = 27,551,772 × 27,551,772
  4. Step 4: Simplify right side
    13,097,217x = 759,100,140,339,984
  5. Step 5: Solve for x
    x = 759,100,140,339,984/13,097,217
  6. Step 6: Final answer
    x = 57,958,888.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.