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Finding the Third Proportional to 14,453,883 and 31,289,378.63

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Solution

The third proportional to 14,453,883 and 31,289,378.63 is: 67,734,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453,883 : 31,289,378.63 = 31,289,378.63 : x
  2. Step 2: Convert to fraction form
    14,453,883/31,289,378.63 = 31,289,378.63/x
  3. Step 3: Cross multiply
    14,453,883x = 31,289,378.63 × 31,289,378.63
  4. Step 4: Simplify right side
    14,453,883x = 979,025,214,738,606.88
  5. Step 5: Solve for x
    x = 979,025,214,738,606.88/14,453,883
  6. Step 6: Final answer
    x = 67,734,408.45

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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.