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Finding the Third Proportional to 106,184,038,887 and 227,513,780,883

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Solution

The third proportional to 106,184,038,887 and 227,513,780,883 is: 487,479,295,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,184,038,887 : 227,513,780,883 = 227,513,780,883 : x
  2. Step 2: Convert to fraction form
    106,184,038,887/227,513,780,883 = 227,513,780,883/x
  3. Step 3: Cross multiply
    106,184,038,887x = 227,513,780,883 × 227,513,780,883
  4. Step 4: Simplify right side
    106,184,038,887x = 51,762,520,491,677,735,452,672
  5. Step 5: Solve for x
    x = 51,762,520,491,677,735,452,672/106,184,038,887
  6. Step 6: Final answer
    x = 487,479,295,704.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.