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Finding the Third Proportional to 11,290,784 and 26,649,296

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Solution

The third proportional to 11,290,784 and 26,649,296 is: 62,899,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290,784 : 26,649,296 = 26,649,296 : x
  2. Step 2: Convert to fraction form
    11,290,784/26,649,296 = 26,649,296/x
  3. Step 3: Cross multiply
    11,290,784x = 26,649,296 × 26,649,296
  4. Step 4: Simplify right side
    11,290,784x = 710,184,977,295,616
  5. Step 5: Solve for x
    x = 710,184,977,295,616/11,290,784
  6. Step 6: Final answer
    x = 62,899,527.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.