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Finding the Third Proportional to 47,654,700.75 and 104,048,694

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Solution

The third proportional to 47,654,700.75 and 104,048,694 is: 227,178,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654,700.75 : 104,048,694 = 104,048,694 : x
  2. Step 2: Convert to fraction form
    47,654,700.75/104,048,694 = 104,048,694/x
  3. Step 3: Cross multiply
    47,654,700.75x = 104,048,694 × 104,048,694
  4. Step 4: Simplify right side
    47,654,700.75x = 10,826,130,723,105,636
  5. Step 5: Solve for x
    x = 10,826,130,723,105,636/47,654,700.75
  6. Step 6: Final answer
    x = 227,178,652.95

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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.