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Finding the Third Proportional to 34,442,039,072 and 53,911,198,047

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Solution

The third proportional to 34,442,039,072 and 53,911,198,047 is: 84,385,749,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,442,039,072 : 53,911,198,047 = 53,911,198,047 : x
  2. Step 2: Convert to fraction form
    34,442,039,072/53,911,198,047 = 53,911,198,047/x
  3. Step 3: Cross multiply
    34,442,039,072x = 53,911,198,047 × 53,911,198,047
  4. Step 4: Simplify right side
    34,442,039,072x = 2,906,417,274,862,856,830,976
  5. Step 5: Solve for x
    x = 2,906,417,274,862,856,830,976/34,442,039,072
  6. Step 6: Final answer
    x = 84,385,749,310.23

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Why These Related Problems?

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