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Finding the Third Proportional to 7,630,754 and 16,367,036

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Solution

The third proportional to 7,630,754 and 16,367,036 is: 35,105,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630,754 : 16,367,036 = 16,367,036 : x
  2. Step 2: Convert to fraction form
    7,630,754/16,367,036 = 16,367,036/x
  3. Step 3: Cross multiply
    7,630,754x = 16,367,036 × 16,367,036
  4. Step 4: Simplify right side
    7,630,754x = 267,879,867,425,296
  5. Step 5: Solve for x
    x = 267,879,867,425,296/7,630,754
  6. Step 6: Final answer
    x = 35,105,294.63

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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.