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Finding the Third Proportional to 6,834,946 and 9,612,901

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Solution

The third proportional to 6,834,946 and 9,612,901 is: 13,519,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834,946 : 9,612,901 = 9,612,901 : x
  2. Step 2: Convert to fraction form
    6,834,946/9,612,901 = 9,612,901/x
  3. Step 3: Cross multiply
    6,834,946x = 9,612,901 × 9,612,901
  4. Step 4: Simplify right side
    6,834,946x = 92,407,865,635,801
  5. Step 5: Solve for x
    x = 92,407,865,635,801/6,834,946
  6. Step 6: Final answer
    x = 13,519,911.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.