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Finding the Third Proportional to 47,881,647 and 74,292,606

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Solution

The third proportional to 47,881,647 and 74,292,606 is: 115,271,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881,647 : 74,292,606 = 74,292,606 : x
  2. Step 2: Convert to fraction form
    47,881,647/74,292,606 = 74,292,606/x
  3. Step 3: Cross multiply
    47,881,647x = 74,292,606 × 74,292,606
  4. Step 4: Simplify right side
    47,881,647x = 5,519,391,306,271,236
  5. Step 5: Solve for x
    x = 5,519,391,306,271,236/47,881,647
  6. Step 6: Final answer
    x = 115,271,542.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.