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Finding the Third Proportional to 5,846,220 and 9,183,766.50

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Solution

The third proportional to 5,846,220 and 9,183,766.50 is: 14,426,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,220 : 9,183,766.50 = 9,183,766.50 : x
  2. Step 2: Convert to fraction form
    5,846,220/9,183,766.50 = 9,183,766.50/x
  3. Step 3: Cross multiply
    5,846,220x = 9,183,766.50 × 9,183,766.50
  4. Step 4: Simplify right side
    5,846,220x = 84,341,567,126,522.25
  5. Step 5: Solve for x
    x = 84,341,567,126,522.25/5,846,220
  6. Step 6: Final answer
    x = 14,426,683.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.