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Finding the Third Proportional to 23,765,416 and 34,646,652

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Solution

The third proportional to 23,765,416 and 34,646,652 is: 50,509,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765,416 : 34,646,652 = 34,646,652 : x
  2. Step 2: Convert to fraction form
    23,765,416/34,646,652 = 34,646,652/x
  3. Step 3: Cross multiply
    23,765,416x = 34,646,652 × 34,646,652
  4. Step 4: Simplify right side
    23,765,416x = 1,200,390,494,809,104
  5. Step 5: Solve for x
    x = 1,200,390,494,809,104/23,765,416
  6. Step 6: Final answer
    x = 50,509,971.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.