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Finding the Third Proportional to 47,755,274 and 75,740,097

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Solution

The third proportional to 47,755,274 and 75,740,097 is: 120,124,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,274 : 75,740,097 = 75,740,097 : x
  2. Step 2: Convert to fraction form
    47,755,274/75,740,097 = 75,740,097/x
  3. Step 3: Cross multiply
    47,755,274x = 75,740,097 × 75,740,097
  4. Step 4: Simplify right side
    47,755,274x = 5,736,562,293,569,409
  5. Step 5: Solve for x
    x = 5,736,562,293,569,409/47,755,274
  6. Step 6: Final answer
    x = 120,124,162.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.