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Finding the Third Proportional to 1,387,694,682 and 3,029,681,284

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Solution

The third proportional to 1,387,694,682 and 3,029,681,284 is: 6,614,544,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,694,682 : 3,029,681,284 = 3,029,681,284 : x
  2. Step 2: Convert to fraction form
    1,387,694,682/3,029,681,284 = 3,029,681,284/x
  3. Step 3: Cross multiply
    1,387,694,682x = 3,029,681,284 × 3,029,681,284
  4. Step 4: Simplify right side
    1,387,694,682x = 9,178,968,682,619,888,640
  5. Step 5: Solve for x
    x = 9,178,968,682,619,888,640/1,387,694,682
  6. Step 6: Final answer
    x = 6,614,544,828.69

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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.