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Finding the Third Proportional to 6,782,001 and 10,242,124.50

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Solution

The third proportional to 6,782,001 and 10,242,124.50 is: 15,467,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782,001 : 10,242,124.50 = 10,242,124.50 : x
  2. Step 2: Convert to fraction form
    6,782,001/10,242,124.50 = 10,242,124.50/x
  3. Step 3: Cross multiply
    6,782,001x = 10,242,124.50 × 10,242,124.50
  4. Step 4: Simplify right side
    6,782,001x = 104,901,114,273,500.25
  5. Step 5: Solve for x
    x = 104,901,114,273,500.25/6,782,001
  6. Step 6: Final answer
    x = 15,467,575.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.