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Finding the Third Proportional to 4,914,833,294 and 10,831,466,164

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Solution

The third proportional to 4,914,833,294 and 10,831,466,164 is: 23,870,730,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914,833,294 : 10,831,466,164 = 10,831,466,164 : x
  2. Step 2: Convert to fraction form
    4,914,833,294/10,831,466,164 = 10,831,466,164/x
  3. Step 3: Cross multiply
    4,914,833,294x = 10,831,466,164 × 10,831,466,164
  4. Step 4: Simplify right side
    4,914,833,294x = 117,320,659,261,876,879,360
  5. Step 5: Solve for x
    x = 117,320,659,261,876,879,360/4,914,833,294
  6. Step 6: Final answer
    x = 23,870,730,143.60

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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.