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Finding the Third Proportional to 6,097,838 and 8,361,488

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Solution

The third proportional to 6,097,838 and 8,361,488 is: 11,465,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097,838 : 8,361,488 = 8,361,488 : x
  2. Step 2: Convert to fraction form
    6,097,838/8,361,488 = 8,361,488/x
  3. Step 3: Cross multiply
    6,097,838x = 8,361,488 × 8,361,488
  4. Step 4: Simplify right side
    6,097,838x = 69,914,481,574,144
  5. Step 5: Solve for x
    x = 69,914,481,574,144/6,097,838
  6. Step 6: Final answer
    x = 11,465,454.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.