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Finding the Third Proportional to 6,381,501.75 and 13,660,024.50

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Solution

The third proportional to 6,381,501.75 and 13,660,024.50 is: 29,240,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,501.75 : 13,660,024.50 = 13,660,024.50 : x
  2. Step 2: Convert to fraction form
    6,381,501.75/13,660,024.50 = 13,660,024.50/x
  3. Step 3: Cross multiply
    6,381,501.75x = 13,660,024.50 × 13,660,024.50
  4. Step 4: Simplify right side
    6,381,501.75x = 186,596,269,340,600.25
  5. Step 5: Solve for x
    x = 186,596,269,340,600.25/6,381,501.75
  6. Step 6: Final answer
    x = 29,240,181.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.