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Finding the Third Proportional to 3,700,683.75 and 5,551,024.50

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Solution

The third proportional to 3,700,683.75 and 5,551,024.50 is: 8,326,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700,683.75 : 5,551,024.50 = 5,551,024.50 : x
  2. Step 2: Convert to fraction form
    3,700,683.75/5,551,024.50 = 5,551,024.50/x
  3. Step 3: Cross multiply
    3,700,683.75x = 5,551,024.50 × 5,551,024.50
  4. Step 4: Simplify right side
    3,700,683.75x = 30,813,872,999,600.25
  5. Step 5: Solve for x
    x = 30,813,872,999,600.25/3,700,683.75
  6. Step 6: Final answer
    x = 8,326,535.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.