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Finding the Third Proportional to 47,325,602 and 101,824,708

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Solution

The third proportional to 47,325,602 and 101,824,708 is: 219,083,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,325,602 : 101,824,708 = 101,824,708 : x
  2. Step 2: Convert to fraction form
    47,325,602/101,824,708 = 101,824,708/x
  3. Step 3: Cross multiply
    47,325,602x = 101,824,708 × 101,824,708
  4. Step 4: Simplify right side
    47,325,602x = 10,368,271,159,285,264
  5. Step 5: Solve for x
    x = 10,368,271,159,285,264/47,325,602
  6. Step 6: Final answer
    x = 219,083,766.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.