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Finding the Third Proportional to 45,458,148 and 69,322,176

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Solution

The third proportional to 45,458,148 and 69,322,176 is: 105,714,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,458,148 : 69,322,176 = 69,322,176 : x
  2. Step 2: Convert to fraction form
    45,458,148/69,322,176 = 69,322,176/x
  3. Step 3: Cross multiply
    45,458,148x = 69,322,176 × 69,322,176
  4. Step 4: Simplify right side
    45,458,148x = 4,805,564,085,374,976
  5. Step 5: Solve for x
    x = 4,805,564,085,374,976/45,458,148
  6. Step 6: Final answer
    x = 105,714,031.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.