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Finding the Third Proportional to 7,000,538 and 11,431,173

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Solution

The third proportional to 7,000,538 and 11,431,173 is: 18,665,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000,538 : 11,431,173 = 11,431,173 : x
  2. Step 2: Convert to fraction form
    7,000,538/11,431,173 = 11,431,173/x
  3. Step 3: Cross multiply
    7,000,538x = 11,431,173 × 11,431,173
  4. Step 4: Simplify right side
    7,000,538x = 130,671,716,155,929
  5. Step 5: Solve for x
    x = 130,671,716,155,929/7,000,538
  6. Step 6: Final answer
    x = 18,665,953.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.