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Finding the Third Proportional to 44,155,433,046 and 96,302,534,667

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Solution

The third proportional to 44,155,433,046 and 96,302,534,667 is: 210,034,814,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,155,433,046 : 96,302,534,667 = 96,302,534,667 : x
  2. Step 2: Convert to fraction form
    44,155,433,046/96,302,534,667 = 96,302,534,667/x
  3. Step 3: Cross multiply
    44,155,433,046x = 96,302,534,667 × 96,302,534,667
  4. Step 4: Simplify right side
    44,155,433,046x = 9,274,178,183,288,737,234,944
  5. Step 5: Solve for x
    x = 9,274,178,183,288,737,234,944/44,155,433,046
  6. Step 6: Final answer
    x = 210,034,814,371.02

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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.