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Finding the Third Proportional to 776,061,021.44 and 1,702,369,127.97

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Solution

The third proportional to 776,061,021.44 and 1,702,369,127.97 is: 3,734,320,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,061,021.44 : 1,702,369,127.97 = 1,702,369,127.97 : x
  2. Step 2: Convert to fraction form
    776,061,021.44/1,702,369,127.97 = 1,702,369,127.97/x
  3. Step 3: Cross multiply
    776,061,021.44x = 1,702,369,127.97 × 1,702,369,127.97
  4. Step 4: Simplify right side
    776,061,021.44x = 2,898,060,647,868,061,696
  5. Step 5: Solve for x
    x = 2,898,060,647,868,061,696/776,061,021.44
  6. Step 6: Final answer
    x = 3,734,320,585.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.