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Finding the Third Proportional to 919,571,172 and 2,007,694,152

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Solution

The third proportional to 919,571,172 and 2,007,694,152 is: 4,383,386,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,571,172 : 2,007,694,152 = 2,007,694,152 : x
  2. Step 2: Convert to fraction form
    919,571,172/2,007,694,152 = 2,007,694,152/x
  3. Step 3: Cross multiply
    919,571,172x = 2,007,694,152 × 2,007,694,152
  4. Step 4: Simplify right side
    919,571,172x = 4,030,835,807,974,999,040
  5. Step 5: Solve for x
    x = 4,030,835,807,974,999,040/919,571,172
  6. Step 6: Final answer
    x = 4,383,386,442.19

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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.