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Finding the Third Proportional to 47,941,744 and 105,655,652

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Solution

The third proportional to 47,941,744 and 105,655,652 is: 232,847,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,941,744 : 105,655,652 = 105,655,652 : x
  2. Step 2: Convert to fraction form
    47,941,744/105,655,652 = 105,655,652/x
  3. Step 3: Cross multiply
    47,941,744x = 105,655,652 × 105,655,652
  4. Step 4: Simplify right side
    47,941,744x = 11,163,116,799,545,104
  5. Step 5: Solve for x
    x = 11,163,116,799,545,104/47,941,744
  6. Step 6: Final answer
    x = 232,847,532.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.