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Finding the Third Proportional to 853,066,147,764 and 1,776,740,078,904

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Solution

The third proportional to 853,066,147,764 and 1,776,740,078,904 is: 3,700,539,889,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,066,147,764 : 1,776,740,078,904 = 1,776,740,078,904 : x
  2. Step 2: Convert to fraction form
    853,066,147,764/1,776,740,078,904 = 1,776,740,078,904/x
  3. Step 3: Cross multiply
    853,066,147,764x = 1,776,740,078,904 × 1,776,740,078,904
  4. Step 4: Simplify right side
    853,066,147,764x = 3,156,805,307,983,792,256,843,776
  5. Step 5: Solve for x
    x = 3,156,805,307,983,792,256,843,776/853,066,147,764
  6. Step 6: Final answer
    x = 3,700,539,889,266.73

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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.