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Finding the Third Proportional to 11,453,056 and 24,699,456

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Solution

The third proportional to 11,453,056 and 24,699,456 is: 53,266,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453,056 : 24,699,456 = 24,699,456 : x
  2. Step 2: Convert to fraction form
    11,453,056/24,699,456 = 24,699,456/x
  3. Step 3: Cross multiply
    11,453,056x = 24,699,456 × 24,699,456
  4. Step 4: Simplify right side
    11,453,056x = 610,063,126,695,936
  5. Step 5: Solve for x
    x = 610,063,126,695,936/11,453,056
  6. Step 6: Final answer
    x = 53,266,405.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.