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Finding the Third Proportional to 17,148,370,716 and 37,146,269,960

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Solution

The third proportional to 17,148,370,716 and 37,146,269,960 is: 80,465,100,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,148,370,716 : 37,146,269,960 = 37,146,269,960 : x
  2. Step 2: Convert to fraction form
    17,148,370,716/37,146,269,960 = 37,146,269,960/x
  3. Step 3: Cross multiply
    17,148,370,716x = 37,146,269,960 × 37,146,269,960
  4. Step 4: Simplify right side
    17,148,370,716x = 1,379,845,371,941,198,495,744
  5. Step 5: Solve for x
    x = 1,379,845,371,941,198,495,744/17,148,370,716
  6. Step 6: Final answer
    x = 80,465,100,433.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.