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Finding the Third Proportional to 11,586,856 and 17,529,416

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Solution

The third proportional to 11,586,856 and 17,529,416 is: 26,519,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586,856 : 17,529,416 = 17,529,416 : x
  2. Step 2: Convert to fraction form
    11,586,856/17,529,416 = 17,529,416/x
  3. Step 3: Cross multiply
    11,586,856x = 17,529,416 × 17,529,416
  4. Step 4: Simplify right side
    11,586,856x = 307,280,425,301,056
  5. Step 5: Solve for x
    x = 307,280,425,301,056/11,586,856
  6. Step 6: Final answer
    x = 26,519,741.45

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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.