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Finding the Third Proportional to 145,454,317,052 and 339,846,916,270

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Solution

The third proportional to 145,454,317,052 and 339,846,916,270 is: 794,035,741,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,454,317,052 : 339,846,916,270 = 339,846,916,270 : x
  2. Step 2: Convert to fraction form
    145,454,317,052/339,846,916,270 = 339,846,916,270/x
  3. Step 3: Cross multiply
    145,454,317,052x = 339,846,916,270 × 339,846,916,270
  4. Step 4: Simplify right side
    145,454,317,052x = 115,495,926,498,228,382,466,048
  5. Step 5: Solve for x
    x = 115,495,926,498,228,382,466,048/145,454,317,052
  6. Step 6: Final answer
    x = 794,035,741,523.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.