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Finding the Third Proportional to 11,583,852 and 17,525,241

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Solution

The third proportional to 11,583,852 and 17,525,241 is: 26,513,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583,852 : 17,525,241 = 17,525,241 : x
  2. Step 2: Convert to fraction form
    11,583,852/17,525,241 = 17,525,241/x
  3. Step 3: Cross multiply
    11,583,852x = 17,525,241 × 17,525,241
  4. Step 4: Simplify right side
    11,583,852x = 307,134,072,108,081
  5. Step 5: Solve for x
    x = 307,134,072,108,081/11,583,852
  6. Step 6: Final answer
    x = 26,513,984.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.