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Finding the Third Proportional to 4,914,833,149 and 10,831,465,803

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Solution

The third proportional to 4,914,833,149 and 10,831,465,803 is: 23,870,729,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914,833,149 : 10,831,465,803 = 10,831,465,803 : x
  2. Step 2: Convert to fraction form
    4,914,833,149/10,831,465,803 = 10,831,465,803/x
  3. Step 3: Cross multiply
    4,914,833,149x = 10,831,465,803 × 10,831,465,803
  4. Step 4: Simplify right side
    4,914,833,149x = 117,320,651,441,558,437,888
  5. Step 5: Solve for x
    x = 117,320,651,441,558,437,888/4,914,833,149
  6. Step 6: Final answer
    x = 23,870,729,256.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.