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Finding the Third Proportional to 12,453,607.50 and 27,024,081.75

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Solution

The third proportional to 12,453,607.50 and 27,024,081.75 is: 58,641,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453,607.50 : 27,024,081.75 = 27,024,081.75 : x
  2. Step 2: Convert to fraction form
    12,453,607.50/27,024,081.75 = 27,024,081.75/x
  3. Step 3: Cross multiply
    12,453,607.50x = 27,024,081.75 × 27,024,081.75
  4. Step 4: Simplify right side
    12,453,607.50x = 730,300,994,430,683
  5. Step 5: Solve for x
    x = 730,300,994,430,683/12,453,607.50
  6. Step 6: Final answer
    x = 58,641,722.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.