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Finding the Third Proportional to 38,284,852.50 and 58,846,297.50

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Solution

The third proportional to 38,284,852.50 and 58,846,297.50 is: 90,450,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284,852.50 : 58,846,297.50 = 58,846,297.50 : x
  2. Step 2: Convert to fraction form
    38,284,852.50/58,846,297.50 = 58,846,297.50/x
  3. Step 3: Cross multiply
    38,284,852.50x = 58,846,297.50 × 58,846,297.50
  4. Step 4: Simplify right side
    38,284,852.50x = 3,462,886,729,458,506
  5. Step 5: Solve for x
    x = 3,462,886,729,458,506/38,284,852.50
  6. Step 6: Final answer
    x = 90,450,569.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.