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Finding the Third Proportional to 22,389,048 and 47,033,986.50

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Solution

The third proportional to 22,389,048 and 47,033,986.50 is: 98,807,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,389,048 : 47,033,986.50 = 47,033,986.50 : x
  2. Step 2: Convert to fraction form
    22,389,048/47,033,986.50 = 47,033,986.50/x
  3. Step 3: Cross multiply
    22,389,048x = 47,033,986.50 × 47,033,986.50
  4. Step 4: Simplify right side
    22,389,048x = 2,212,195,886,082,182.25
  5. Step 5: Solve for x
    x = 2,212,195,886,082,182.25/22,389,048
  6. Step 6: Final answer
    x = 98,807,054.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.