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Finding the Third Proportional to 626,007,032,448 and 1,374,994,944,576

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Solution

The third proportional to 626,007,032,448 and 1,374,994,944,576 is: 3,020,111,595,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,007,032,448 : 1,374,994,944,576 = 1,374,994,944,576 : x
  2. Step 2: Convert to fraction form
    626,007,032,448/1,374,994,944,576 = 1,374,994,944,576/x
  3. Step 3: Cross multiply
    626,007,032,448x = 1,374,994,944,576 × 1,374,994,944,576
  4. Step 4: Simplify right side
    626,007,032,448x = 1,890,611,097,609,557,392,752,640
  5. Step 5: Solve for x
    x = 1,890,611,097,609,557,392,752,640/626,007,032,448
  6. Step 6: Final answer
    x = 3,020,111,595,577.97

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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.