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Finding the Third Proportional to 25,261,405,467 and 54,354,169,539.50

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Solution

The third proportional to 25,261,405,467 and 54,354,169,539.50 is: 116,952,152,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,261,405,467 : 54,354,169,539.50 = 54,354,169,539.50 : x
  2. Step 2: Convert to fraction form
    25,261,405,467/54,354,169,539.50 = 54,354,169,539.50/x
  3. Step 3: Cross multiply
    25,261,405,467x = 54,354,169,539.50 × 54,354,169,539.50
  4. Step 4: Simplify right side
    25,261,405,467x = 2,954,375,746,328,709,824,512
  5. Step 5: Solve for x
    x = 2,954,375,746,328,709,824,512/25,261,405,467
  6. Step 6: Final answer
    x = 116,952,152,570.77

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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.