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Finding the Third Proportional to 23,459,116,472,820 and 50,503,516,204,968

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Solution

The third proportional to 23,459,116,472,820 and 50,503,516,204,968 is: 108,725,541,817,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,459,116,472,820 : 50,503,516,204,968 = 50,503,516,204,968 : x
  2. Step 2: Convert to fraction form
    23,459,116,472,820/50,503,516,204,968 = 50,503,516,204,968/x
  3. Step 3: Cross multiply
    23,459,116,472,820x = 50,503,516,204,968 × 50,503,516,204,968
  4. Step 4: Simplify right side
    23,459,116,472,820x = 2,550,605,149,065,465,260,490,620,928
  5. Step 5: Solve for x
    x = 2,550,605,149,065,465,260,490,620,928/23,459,116,472,820
  6. Step 6: Final answer
    x = 108,725,541,817,426.31

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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.