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Finding the Third Proportional to 49,235,824 and 113,972,020

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Solution

The third proportional to 49,235,824 and 113,972,020 is: 263,824,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235,824 : 113,972,020 = 113,972,020 : x
  2. Step 2: Convert to fraction form
    49,235,824/113,972,020 = 113,972,020/x
  3. Step 3: Cross multiply
    49,235,824x = 113,972,020 × 113,972,020
  4. Step 4: Simplify right side
    49,235,824x = 12,989,621,342,880,400
  5. Step 5: Solve for x
    x = 12,989,621,342,880,400/49,235,824
  6. Step 6: Final answer
    x = 263,824,595.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.