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Finding the Third Proportional to 12,674,974.50 and 27,370,467

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Solution

The third proportional to 12,674,974.50 and 27,370,467 is: 59,104,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674,974.50 : 27,370,467 = 27,370,467 : x
  2. Step 2: Convert to fraction form
    12,674,974.50/27,370,467 = 27,370,467/x
  3. Step 3: Cross multiply
    12,674,974.50x = 27,370,467 × 27,370,467
  4. Step 4: Simplify right side
    12,674,974.50x = 749,142,463,798,089
  5. Step 5: Solve for x
    x = 749,142,463,798,089/12,674,974.50
  6. Step 6: Final answer
    x = 59,104,060.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.