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Finding the Third Proportional to 23,830,124 and 51,439,380

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Solution

The third proportional to 23,830,124 and 51,439,380 is: 111,036,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830,124 : 51,439,380 = 51,439,380 : x
  2. Step 2: Convert to fraction form
    23,830,124/51,439,380 = 51,439,380/x
  3. Step 3: Cross multiply
    23,830,124x = 51,439,380 × 51,439,380
  4. Step 4: Simplify right side
    23,830,124x = 2,646,009,814,784,400
  5. Step 5: Solve for x
    x = 2,646,009,814,784,400/23,830,124
  6. Step 6: Final answer
    x = 111,036,342.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.