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Finding the Third Proportional to 145,454,317,060 and 339,846,916,290

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Solution

The third proportional to 145,454,317,060 and 339,846,916,290 is: 794,035,741,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,454,317,060 : 339,846,916,290 = 339,846,916,290 : x
  2. Step 2: Convert to fraction form
    145,454,317,060/339,846,916,290 = 339,846,916,290/x
  3. Step 3: Cross multiply
    145,454,317,060x = 339,846,916,290 × 339,846,916,290
  4. Step 4: Simplify right side
    145,454,317,060x = 115,495,926,511,822,272,724,992
  5. Step 5: Solve for x
    x = 115,495,926,511,822,272,724,992/145,454,317,060
  6. Step 6: Final answer
    x = 794,035,741,573.63

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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.