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Finding the Third Proportional to 23,684,836 and 51,827,436

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Solution

The third proportional to 23,684,836 and 51,827,436 is: 113,409,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684,836 : 51,827,436 = 51,827,436 : x
  2. Step 2: Convert to fraction form
    23,684,836/51,827,436 = 51,827,436/x
  3. Step 3: Cross multiply
    23,684,836x = 51,827,436 × 51,827,436
  4. Step 4: Simplify right side
    23,684,836x = 2,686,083,122,334,096
  5. Step 5: Solve for x
    x = 2,686,083,122,334,096/23,684,836
  6. Step 6: Final answer
    x = 113,409,403.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.