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Finding the Third Proportional to 435,415,405,822 and 681,544,032,088

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Solution

The third proportional to 435,415,405,822 and 681,544,032,088 is: 1,066,802,555,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,415,405,822 : 681,544,032,088 = 681,544,032,088 : x
  2. Step 2: Convert to fraction form
    435,415,405,822/681,544,032,088 = 681,544,032,088/x
  3. Step 3: Cross multiply
    435,415,405,822x = 681,544,032,088 × 681,544,032,088
  4. Step 4: Simplify right side
    435,415,405,822x = 464,502,267,674,768,770,596,864
  5. Step 5: Solve for x
    x = 464,502,267,674,768,770,596,864/435,415,405,822
  6. Step 6: Final answer
    x = 1,066,802,555,591.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.