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Finding the Third Proportional to 5,054,006,787 and 10,809,077,625

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Solution

The third proportional to 5,054,006,787 and 10,809,077,625 is: 23,117,531,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054,006,787 : 10,809,077,625 = 10,809,077,625 : x
  2. Step 2: Convert to fraction form
    5,054,006,787/10,809,077,625 = 10,809,077,625/x
  3. Step 3: Cross multiply
    5,054,006,787x = 10,809,077,625 × 10,809,077,625
  4. Step 4: Simplify right side
    5,054,006,787x = 116,836,159,103,275,646,976
  5. Step 5: Solve for x
    x = 116,836,159,103,275,646,976/5,054,006,787
  6. Step 6: Final answer
    x = 23,117,531,104.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.