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Finding the Third Proportional to 6,838,138 and 10,828,019

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Solution

The third proportional to 6,838,138 and 10,828,019 is: 17,145,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,138 : 10,828,019 = 10,828,019 : x
  2. Step 2: Convert to fraction form
    6,838,138/10,828,019 = 10,828,019/x
  3. Step 3: Cross multiply
    6,838,138x = 10,828,019 × 10,828,019
  4. Step 4: Simplify right side
    6,838,138x = 117,245,995,464,361
  5. Step 5: Solve for x
    x = 117,245,995,464,361/6,838,138
  6. Step 6: Final answer
    x = 17,145,894.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.