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Finding the Third Proportional to 10,847,538 and 16,411,274

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Solution

The third proportional to 10,847,538 and 16,411,274 is: 24,828,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847,538 : 16,411,274 = 16,411,274 : x
  2. Step 2: Convert to fraction form
    10,847,538/16,411,274 = 16,411,274/x
  3. Step 3: Cross multiply
    10,847,538x = 16,411,274 × 16,411,274
  4. Step 4: Simplify right side
    10,847,538x = 269,329,914,303,076
  5. Step 5: Solve for x
    x = 269,329,914,303,076/10,847,538
  6. Step 6: Final answer
    x = 24,828,667.51

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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.