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Finding the Third Proportional to 3,100,901,994 and 4,766,310,603

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Solution

The third proportional to 3,100,901,994 and 4,766,310,603 is: 7,326,164,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,901,994 : 4,766,310,603 = 4,766,310,603 : x
  2. Step 2: Convert to fraction form
    3,100,901,994/4,766,310,603 = 4,766,310,603/x
  3. Step 3: Cross multiply
    3,100,901,994x = 4,766,310,603 × 4,766,310,603
  4. Step 4: Simplify right side
    3,100,901,994x = 22,717,716,764,270,223,360
  5. Step 5: Solve for x
    x = 22,717,716,764,270,223,360/3,100,901,994
  6. Step 6: Final answer
    x = 7,326,164,067.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.