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Finding the Third Proportional to 47,765,888 and 104,474,920

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Solution

The third proportional to 47,765,888 and 104,474,920 is: 228,510,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765,888 : 104,474,920 = 104,474,920 : x
  2. Step 2: Convert to fraction form
    47,765,888/104,474,920 = 104,474,920/x
  3. Step 3: Cross multiply
    47,765,888x = 104,474,920 × 104,474,920
  4. Step 4: Simplify right side
    47,765,888x = 10,915,008,909,006,400
  5. Step 5: Solve for x
    x = 10,915,008,909,006,400/47,765,888
  6. Step 6: Final answer
    x = 228,510,541.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.