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Finding the Third Proportional to 2,447,612 and 5,302,014

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Solution

The third proportional to 2,447,612 and 5,302,014 is: 11,485,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,612 : 5,302,014 = 5,302,014 : x
  2. Step 2: Convert to fraction form
    2,447,612/5,302,014 = 5,302,014/x
  3. Step 3: Cross multiply
    2,447,612x = 5,302,014 × 5,302,014
  4. Step 4: Simplify right side
    2,447,612x = 28,111,352,456,196
  5. Step 5: Solve for x
    x = 28,111,352,456,196/2,447,612
  6. Step 6: Final answer
    x = 11,485,215.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.