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Finding the Third Proportional to 5,627,448 and 11,453,776

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Solution

The third proportional to 5,627,448 and 11,453,776 is: 23,312,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627,448 : 11,453,776 = 11,453,776 : x
  2. Step 2: Convert to fraction form
    5,627,448/11,453,776 = 11,453,776/x
  3. Step 3: Cross multiply
    5,627,448x = 11,453,776 × 11,453,776
  4. Step 4: Simplify right side
    5,627,448x = 131,188,984,658,176
  5. Step 5: Solve for x
    x = 131,188,984,658,176/5,627,448
  6. Step 6: Final answer
    x = 23,312,340.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.