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Finding the Third Proportional to 959,980,106,512 and 1,387,005,476,947

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Solution

The third proportional to 959,980,106,512 and 1,387,005,476,947 is: 2,003,983,395,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,980,106,512 : 1,387,005,476,947 = 1,387,005,476,947 : x
  2. Step 2: Convert to fraction form
    959,980,106,512/1,387,005,476,947 = 1,387,005,476,947/x
  3. Step 3: Cross multiply
    959,980,106,512x = 1,387,005,476,947 × 1,387,005,476,947
  4. Step 4: Simplify right side
    959,980,106,512x = 1,923,784,193,080,975,035,465,728
  5. Step 5: Solve for x
    x = 1,923,784,193,080,975,035,465,728/959,980,106,512
  6. Step 6: Final answer
    x = 2,003,983,395,104.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.