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Finding the Third Proportional to 23,705,997 and 51,719,265

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Solution

The third proportional to 23,705,997 and 51,719,265 is: 112,835,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705,997 : 51,719,265 = 51,719,265 : x
  2. Step 2: Convert to fraction form
    23,705,997/51,719,265 = 51,719,265/x
  3. Step 3: Cross multiply
    23,705,997x = 51,719,265 × 51,719,265
  4. Step 4: Simplify right side
    23,705,997x = 2,674,882,372,140,225
  5. Step 5: Solve for x
    x = 2,674,882,372,140,225/23,705,997
  6. Step 6: Final answer
    x = 112,835,683.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.