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Finding the Third Proportional to 11,586,829 and 17,529,370

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Solution

The third proportional to 11,586,829 and 17,529,370 is: 26,519,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586,829 : 17,529,370 = 17,529,370 : x
  2. Step 2: Convert to fraction form
    11,586,829/17,529,370 = 17,529,370/x
  3. Step 3: Cross multiply
    11,586,829x = 17,529,370 × 17,529,370
  4. Step 4: Simplify right side
    11,586,829x = 307,278,812,596,900
  5. Step 5: Solve for x
    x = 307,278,812,596,900/11,586,829
  6. Step 6: Final answer
    x = 26,519,664.06

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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.