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Finding the Third Proportional to 11,577,346 and 17,019,153

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Solution

The third proportional to 11,577,346 and 17,019,153 is: 25,018,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577,346 : 17,019,153 = 17,019,153 : x
  2. Step 2: Convert to fraction form
    11,577,346/17,019,153 = 17,019,153/x
  3. Step 3: Cross multiply
    11,577,346x = 17,019,153 × 17,019,153
  4. Step 4: Simplify right side
    11,577,346x = 289,651,568,837,409
  5. Step 5: Solve for x
    x = 289,651,568,837,409/11,577,346
  6. Step 6: Final answer
    x = 25,018,822.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.