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Finding the Third Proportional to 6,539,629.50 and 14,078,718

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Solution

The third proportional to 6,539,629.50 and 14,078,718 is: 30,309,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539,629.50 : 14,078,718 = 14,078,718 : x
  2. Step 2: Convert to fraction form
    6,539,629.50/14,078,718 = 14,078,718/x
  3. Step 3: Cross multiply
    6,539,629.50x = 14,078,718 × 14,078,718
  4. Step 4: Simplify right side
    6,539,629.50x = 198,210,300,523,524
  5. Step 5: Solve for x
    x = 198,210,300,523,524/6,539,629.50
  6. Step 6: Final answer
    x = 30,309,102.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.