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Finding the Third Proportional to 3,234,969.75 and 6,924,369

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Solution

The third proportional to 3,234,969.75 and 6,924,369 is: 14,821,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,969.75 : 6,924,369 = 6,924,369 : x
  2. Step 2: Convert to fraction form
    3,234,969.75/6,924,369 = 6,924,369/x
  3. Step 3: Cross multiply
    3,234,969.75x = 6,924,369 × 6,924,369
  4. Step 4: Simplify right side
    3,234,969.75x = 47,946,886,048,161
  5. Step 5: Solve for x
    x = 47,946,886,048,161/3,234,969.75
  6. Step 6: Final answer
    x = 14,821,432.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.