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Finding the Third Proportional to 4,137,447 and 6,422,683.50

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Solution

The third proportional to 4,137,447 and 6,422,683.50 is: 9,970,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,447 : 6,422,683.50 = 6,422,683.50 : x
  2. Step 2: Convert to fraction form
    4,137,447/6,422,683.50 = 6,422,683.50/x
  3. Step 3: Cross multiply
    4,137,447x = 6,422,683.50 × 6,422,683.50
  4. Step 4: Simplify right side
    4,137,447x = 41,250,863,341,172.25
  5. Step 5: Solve for x
    x = 41,250,863,341,172.25/4,137,447
  6. Step 6: Final answer
    x = 9,970,124.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.