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Finding the Third Proportional to 11,538,320 and 24,621,152

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Solution

The third proportional to 11,538,320 and 24,621,152 is: 52,538,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538,320 : 24,621,152 = 24,621,152 : x
  2. Step 2: Convert to fraction form
    11,538,320/24,621,152 = 24,621,152/x
  3. Step 3: Cross multiply
    11,538,320x = 24,621,152 × 24,621,152
  4. Step 4: Simplify right side
    11,538,320x = 606,201,125,807,104
  5. Step 5: Solve for x
    x = 606,201,125,807,104/11,538,320
  6. Step 6: Final answer
    x = 52,538,075.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.