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Finding the Third Proportional to 4,101,570 and 8,834,211

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Solution

The third proportional to 4,101,570 and 8,834,211 is: 19,027,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101,570 : 8,834,211 = 8,834,211 : x
  2. Step 2: Convert to fraction form
    4,101,570/8,834,211 = 8,834,211/x
  3. Step 3: Cross multiply
    4,101,570x = 8,834,211 × 8,834,211
  4. Step 4: Simplify right side
    4,101,570x = 78,043,283,992,521
  5. Step 5: Solve for x
    x = 78,043,283,992,521/4,101,570
  6. Step 6: Final answer
    x = 19,027,661.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.