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Finding the Third Proportional to 22,365,077 and 48,917,527

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Solution

The third proportional to 22,365,077 and 48,917,527 is: 106,993,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365,077 : 48,917,527 = 48,917,527 : x
  2. Step 2: Convert to fraction form
    22,365,077/48,917,527 = 48,917,527/x
  3. Step 3: Cross multiply
    22,365,077x = 48,917,527 × 48,917,527
  4. Step 4: Simplify right side
    22,365,077x = 2,392,924,447,795,729
  5. Step 5: Solve for x
    x = 2,392,924,447,795,729/22,365,077
  6. Step 6: Final answer
    x = 106,993,794.29

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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.