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Finding the Third Proportional to 11,259,178 and 24,112,678

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Solution

The third proportional to 11,259,178 and 24,112,678 is: 51,639,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259,178 : 24,112,678 = 24,112,678 : x
  2. Step 2: Convert to fraction form
    11,259,178/24,112,678 = 24,112,678/x
  3. Step 3: Cross multiply
    11,259,178x = 24,112,678 × 24,112,678
  4. Step 4: Simplify right side
    11,259,178x = 581,421,240,331,684
  5. Step 5: Solve for x
    x = 581,421,240,331,684/11,259,178
  6. Step 6: Final answer
    x = 51,639,759.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.