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Finding the Third Proportional to 301,861,248,558 and 646,126,829,146

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Solution

The third proportional to 301,861,248,558 and 646,126,829,146 is: 1,383,019,123,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861,248,558 : 646,126,829,146 = 646,126,829,146 : x
  2. Step 2: Convert to fraction form
    301,861,248,558/646,126,829,146 = 646,126,829,146/x
  3. Step 3: Cross multiply
    301,861,248,558x = 646,126,829,146 × 646,126,829,146
  4. Step 4: Simplify right side
    301,861,248,558x = 417,479,879,342,264,261,017,600
  5. Step 5: Solve for x
    x = 417,479,879,342,264,261,017,600/301,861,248,558
  6. Step 6: Final answer
    x = 1,383,019,123,311.05

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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.