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Finding the Third Proportional to 4,616,845,096 and 9,362,159,306

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Solution

The third proportional to 4,616,845,096 and 9,362,159,306 is: 18,984,831,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,845,096 : 9,362,159,306 = 9,362,159,306 : x
  2. Step 2: Convert to fraction form
    4,616,845,096/9,362,159,306 = 9,362,159,306/x
  3. Step 3: Cross multiply
    4,616,845,096x = 9,362,159,306 × 9,362,159,306
  4. Step 4: Simplify right side
    4,616,845,096x = 87,650,026,870,922,395,648
  5. Step 5: Solve for x
    x = 87,650,026,870,922,395,648/4,616,845,096
  6. Step 6: Final answer
    x = 18,984,831,643.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.