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Finding the Third Proportional to 3,509,025,172 and 7,706,713,640

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Solution

The third proportional to 3,509,025,172 and 7,706,713,640 is: 16,925,907,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,025,172 : 7,706,713,640 = 7,706,713,640 : x
  2. Step 2: Convert to fraction form
    3,509,025,172/7,706,713,640 = 7,706,713,640/x
  3. Step 3: Cross multiply
    3,509,025,172x = 7,706,713,640 × 7,706,713,640
  4. Step 4: Simplify right side
    3,509,025,172x = 59,393,435,128,962,048,000
  5. Step 5: Solve for x
    x = 59,393,435,128,962,048,000/3,509,025,172
  6. Step 6: Final answer
    x = 16,925,907,400.97

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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.