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Finding the Third Proportional to 11,453,820.75 and 16,021,653.75

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Solution

The third proportional to 11,453,820.75 and 16,021,653.75 is: 22,411,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453,820.75 : 16,021,653.75 = 16,021,653.75 : x
  2. Step 2: Convert to fraction form
    11,453,820.75/16,021,653.75 = 16,021,653.75/x
  3. Step 3: Cross multiply
    11,453,820.75x = 16,021,653.75 × 16,021,653.75
  4. Step 4: Simplify right side
    11,453,820.75x = 256,693,388,884,889.06
  5. Step 5: Solve for x
    x = 256,693,388,884,889.06/11,453,820.75
  6. Step 6: Final answer
    x = 22,411,158.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.