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Finding the Third Proportional to 1,265,908,476,783.40 and 2,715,584,253,347.70

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Solution

The third proportional to 1,265,908,476,783.40 and 2,715,584,253,347.70 is: 5,825,379,932,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,908,476,783.40 : 2,715,584,253,347.70 = 2,715,584,253,347.70 : x
  2. Step 2: Convert to fraction form
    1,265,908,476,783.40/2,715,584,253,347.70 = 2,715,584,253,347.70/x
  3. Step 3: Cross multiply
    1,265,908,476,783.40x = 2,715,584,253,347.70 × 2,715,584,253,347.70
  4. Step 4: Simplify right side
    1,265,908,476,783.40x = 7,374,397,837,029,986,524,987,392
  5. Step 5: Solve for x
    x = 7,374,397,837,029,986,524,987,392/1,265,908,476,783.40
  6. Step 6: Final answer
    x = 5,825,379,932,495.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.