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Finding the Third Proportional to 73,757,890,359 and 158,702,526,774

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Solution

The third proportional to 73,757,890,359 and 158,702,526,774 is: 341,475,222,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,757,890,359 : 158,702,526,774 = 158,702,526,774 : x
  2. Step 2: Convert to fraction form
    73,757,890,359/158,702,526,774 = 158,702,526,774/x
  3. Step 3: Cross multiply
    73,757,890,359x = 158,702,526,774 × 158,702,526,774
  4. Step 4: Simplify right side
    73,757,890,359x = 25,186,492,004,452,186,193,920
  5. Step 5: Solve for x
    x = 25,186,492,004,452,186,193,920/73,757,890,359
  6. Step 6: Final answer
    x = 341,475,222,269.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.