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Finding the Third Proportional to 22,836,114 and 32,994,241

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Solution

The third proportional to 22,836,114 and 32,994,241 is: 47,670,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,836,114 : 32,994,241 = 32,994,241 : x
  2. Step 2: Convert to fraction form
    22,836,114/32,994,241 = 32,994,241/x
  3. Step 3: Cross multiply
    22,836,114x = 32,994,241 × 32,994,241
  4. Step 4: Simplify right side
    22,836,114x = 1,088,619,939,166,081
  5. Step 5: Solve for x
    x = 1,088,619,939,166,081/22,836,114
  6. Step 6: Final answer
    x = 47,670,980.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.