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Finding the Third Proportional to 4,814,749.50 and 9,797,649

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Solution

The third proportional to 4,814,749.50 and 9,797,649 is: 19,937,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814,749.50 : 9,797,649 = 9,797,649 : x
  2. Step 2: Convert to fraction form
    4,814,749.50/9,797,649 = 9,797,649/x
  3. Step 3: Cross multiply
    4,814,749.50x = 9,797,649 × 9,797,649
  4. Step 4: Simplify right side
    4,814,749.50x = 95,993,925,927,201
  5. Step 5: Solve for x
    x = 95,993,925,927,201/4,814,749.50
  6. Step 6: Final answer
    x = 19,937,470.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.