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Finding the Third Proportional to 4,635,603 and 6,819,384

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Solution

The third proportional to 4,635,603 and 6,819,384 is: 10,031,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635,603 : 6,819,384 = 6,819,384 : x
  2. Step 2: Convert to fraction form
    4,635,603/6,819,384 = 6,819,384/x
  3. Step 3: Cross multiply
    4,635,603x = 6,819,384 × 6,819,384
  4. Step 4: Simplify right side
    4,635,603x = 46,503,998,139,456
  5. Step 5: Solve for x
    x = 46,503,998,139,456/4,635,603
  6. Step 6: Final answer
    x = 10,031,919.93

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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.