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Finding the Third Proportional to 6,862,000 and 10,093,368

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Solution

The third proportional to 6,862,000 and 10,093,368 is: 14,846,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,000 : 10,093,368 = 10,093,368 : x
  2. Step 2: Convert to fraction form
    6,862,000/10,093,368 = 10,093,368/x
  3. Step 3: Cross multiply
    6,862,000x = 10,093,368 × 10,093,368
  4. Step 4: Simplify right side
    6,862,000x = 101,876,077,583,424
  5. Step 5: Solve for x
    x = 101,876,077,583,424/6,862,000
  6. Step 6: Final answer
    x = 14,846,411.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.