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Finding the Third Proportional to 11,524,490 and 17,362,733

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Solution

The third proportional to 11,524,490 and 17,362,733 is: 26,158,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524,490 : 17,362,733 = 17,362,733 : x
  2. Step 2: Convert to fraction form
    11,524,490/17,362,733 = 17,362,733/x
  3. Step 3: Cross multiply
    11,524,490x = 17,362,733 × 17,362,733
  4. Step 4: Simplify right side
    11,524,490x = 301,464,497,229,289
  5. Step 5: Solve for x
    x = 301,464,497,229,289/11,524,490
  6. Step 6: Final answer
    x = 26,158,597.67

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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.