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Finding the Third Proportional to 3,509,025,170 and 7,706,713,636

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Solution

The third proportional to 3,509,025,170 and 7,706,713,636 is: 16,925,907,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,025,170 : 7,706,713,636 = 7,706,713,636 : x
  2. Step 2: Convert to fraction form
    3,509,025,170/7,706,713,636 = 7,706,713,636/x
  3. Step 3: Cross multiply
    3,509,025,170x = 7,706,713,636 × 7,706,713,636
  4. Step 4: Simplify right side
    3,509,025,170x = 59,393,435,067,308,343,296
  5. Step 5: Solve for x
    x = 59,393,435,067,308,343,296/3,509,025,170
  6. Step 6: Final answer
    x = 16,925,907,393.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.