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Finding the Third Proportional to 49,290,729 and 109,914,942

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Solution

The third proportional to 49,290,729 and 109,914,942 is: 245,102,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,290,729 : 109,914,942 = 109,914,942 : x
  2. Step 2: Convert to fraction form
    49,290,729/109,914,942 = 109,914,942/x
  3. Step 3: Cross multiply
    49,290,729x = 109,914,942 × 109,914,942
  4. Step 4: Simplify right side
    49,290,729x = 12,081,294,474,863,364
  5. Step 5: Solve for x
    x = 12,081,294,474,863,364/49,290,729
  6. Step 6: Final answer
    x = 245,102,775.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.