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Finding the Third Proportional to 853,066,147,768 and 1,776,740,078,912

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Solution

The third proportional to 853,066,147,768 and 1,776,740,078,912 is: 3,700,539,889,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,066,147,768 : 1,776,740,078,912 = 1,776,740,078,912 : x
  2. Step 2: Convert to fraction form
    853,066,147,768/1,776,740,078,912 = 1,776,740,078,912/x
  3. Step 3: Cross multiply
    853,066,147,768x = 1,776,740,078,912 × 1,776,740,078,912
  4. Step 4: Simplify right side
    853,066,147,768x = 3,156,805,308,012,220,108,505,088
  5. Step 5: Solve for x
    x = 3,156,805,308,012,220,108,505,088/853,066,147,768
  6. Step 6: Final answer
    x = 3,700,539,889,282.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.