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Finding the Third Proportional to 10,505,678 and 22,580,596

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Solution

The third proportional to 10,505,678 and 22,580,596 is: 48,534,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,678 : 22,580,596 = 22,580,596 : x
  2. Step 2: Convert to fraction form
    10,505,678/22,580,596 = 22,580,596/x
  3. Step 3: Cross multiply
    10,505,678x = 22,580,596 × 22,580,596
  4. Step 4: Simplify right side
    10,505,678x = 509,883,315,715,216
  5. Step 5: Solve for x
    x = 509,883,315,715,216/10,505,678
  6. Step 6: Final answer
    x = 48,534,070.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.