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Finding the Third Proportional to 22,178,835 and 48,538,647

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Solution

The third proportional to 22,178,835 and 48,538,647 is: 106,227,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178,835 : 48,538,647 = 48,538,647 : x
  2. Step 2: Convert to fraction form
    22,178,835/48,538,647 = 48,538,647/x
  3. Step 3: Cross multiply
    22,178,835x = 48,538,647 × 48,538,647
  4. Step 4: Simplify right side
    22,178,835x = 2,356,000,252,590,609
  5. Step 5: Solve for x
    x = 2,356,000,252,590,609/22,178,835
  6. Step 6: Final answer
    x = 106,227,412.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.