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Finding the Third Proportional to 6,261,104,794 and 13,647,210,649

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Solution

The third proportional to 6,261,104,794 and 13,647,210,649 is: 29,746,564,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261,104,794 : 13,647,210,649 = 13,647,210,649 : x
  2. Step 2: Convert to fraction form
    6,261,104,794/13,647,210,649 = 13,647,210,649/x
  3. Step 3: Cross multiply
    6,261,104,794x = 13,647,210,649 × 13,647,210,649
  4. Step 4: Simplify right side
    6,261,104,794x = 186,246,358,498,178,990,080
  5. Step 5: Solve for x
    x = 186,246,358,498,178,990,080/6,261,104,794
  6. Step 6: Final answer
    x = 29,746,564,644.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.