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Finding the Third Proportional to 47,342,324 and 101,997,994

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Solution

The third proportional to 47,342,324 and 101,997,994 is: 219,752,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342,324 : 101,997,994 = 101,997,994 : x
  2. Step 2: Convert to fraction form
    47,342,324/101,997,994 = 101,997,994/x
  3. Step 3: Cross multiply
    47,342,324x = 101,997,994 × 101,997,994
  4. Step 4: Simplify right side
    47,342,324x = 10,403,590,780,024,036
  5. Step 5: Solve for x
    x = 10,403,590,780,024,036/47,342,324
  6. Step 6: Final answer
    x = 219,752,430.83

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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.