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Finding the Third Proportional to 965,914,328.25 and 2,084,795,091

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Solution

The third proportional to 965,914,328.25 and 2,084,795,091 is: 4,499,747,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,914,328.25 : 2,084,795,091 = 2,084,795,091 : x
  2. Step 2: Convert to fraction form
    965,914,328.25/2,084,795,091 = 2,084,795,091/x
  3. Step 3: Cross multiply
    965,914,328.25x = 2,084,795,091 × 2,084,795,091
  4. Step 4: Simplify right side
    965,914,328.25x = 4,346,370,571,457,698,304
  5. Step 5: Solve for x
    x = 4,346,370,571,457,698,304/965,914,328.25
  6. Step 6: Final answer
    x = 4,499,747,487.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.