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Finding the Third Proportional to 3,118,106 and 6,832,048

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Solution

The third proportional to 3,118,106 and 6,832,048 is: 14,969,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118,106 : 6,832,048 = 6,832,048 : x
  2. Step 2: Convert to fraction form
    3,118,106/6,832,048 = 6,832,048/x
  3. Step 3: Cross multiply
    3,118,106x = 6,832,048 × 6,832,048
  4. Step 4: Simplify right side
    3,118,106x = 46,676,879,874,304
  5. Step 5: Solve for x
    x = 46,676,879,874,304/3,118,106
  6. Step 6: Final answer
    x = 14,969,625.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.