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Finding the Third Proportional to 27,370,033.50 and 38,264,982

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Solution

The third proportional to 27,370,033.50 and 38,264,982 is: 53,496,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,370,033.50 : 38,264,982 = 38,264,982 : x
  2. Step 2: Convert to fraction form
    27,370,033.50/38,264,982 = 38,264,982/x
  3. Step 3: Cross multiply
    27,370,033.50x = 38,264,982 × 38,264,982
  4. Step 4: Simplify right side
    27,370,033.50x = 1,464,208,847,460,324
  5. Step 5: Solve for x
    x = 1,464,208,847,460,324/27,370,033.50
  6. Step 6: Final answer
    x = 53,496,786.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.