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Finding the Third Proportional to 4,503,684 and 6,970,945.50

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Solution

The third proportional to 4,503,684 and 6,970,945.50 is: 10,789,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503,684 : 6,970,945.50 = 6,970,945.50 : x
  2. Step 2: Convert to fraction form
    4,503,684/6,970,945.50 = 6,970,945.50/x
  3. Step 3: Cross multiply
    4,503,684x = 6,970,945.50 × 6,970,945.50
  4. Step 4: Simplify right side
    4,503,684x = 48,594,081,163,970.25
  5. Step 5: Solve for x
    x = 48,594,081,163,970.25/4,503,684
  6. Step 6: Final answer
    x = 10,789,851.41

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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.