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Finding the Third Proportional to 3,083,670 and 6,696,594

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Solution

The third proportional to 3,083,670 and 6,696,594 is: 14,542,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083,670 : 6,696,594 = 6,696,594 : x
  2. Step 2: Convert to fraction form
    3,083,670/6,696,594 = 6,696,594/x
  3. Step 3: Cross multiply
    3,083,670x = 6,696,594 × 6,696,594
  4. Step 4: Simplify right side
    3,083,670x = 44,844,371,200,836
  5. Step 5: Solve for x
    x = 44,844,371,200,836/3,083,670
  6. Step 6: Final answer
    x = 14,542,532.50

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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.