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Finding the Third Proportional to 7,634,120 and 16,639,984

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Solution

The third proportional to 7,634,120 and 16,639,984 is: 36,269,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634,120 : 16,639,984 = 16,639,984 : x
  2. Step 2: Convert to fraction form
    7,634,120/16,639,984 = 16,639,984/x
  3. Step 3: Cross multiply
    7,634,120x = 16,639,984 × 16,639,984
  4. Step 4: Simplify right side
    7,634,120x = 276,889,067,520,256
  5. Step 5: Solve for x
    x = 276,889,067,520,256/7,634,120
  6. Step 6: Final answer
    x = 36,269,939.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.