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Finding the Third Proportional to 7,828,456 and 11,024,242

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Solution

The third proportional to 7,828,456 and 11,024,242 is: 15,524,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,456 : 11,024,242 = 11,024,242 : x
  2. Step 2: Convert to fraction form
    7,828,456/11,024,242 = 11,024,242/x
  3. Step 3: Cross multiply
    7,828,456x = 11,024,242 × 11,024,242
  4. Step 4: Simplify right side
    7,828,456x = 121,533,911,674,564
  5. Step 5: Solve for x
    x = 121,533,911,674,564/7,828,456
  6. Step 6: Final answer
    x = 15,524,633.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.