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Finding the Third Proportional to 57,779,294,022 and 117,183,210,228

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Solution

The third proportional to 57,779,294,022 and 117,183,210,228 is: 237,661,345,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,779,294,022 : 117,183,210,228 = 117,183,210,228 : x
  2. Step 2: Convert to fraction form
    57,779,294,022/117,183,210,228 = 117,183,210,228/x
  3. Step 3: Cross multiply
    57,779,294,022x = 117,183,210,228 × 117,183,210,228
  4. Step 4: Simplify right side
    57,779,294,022x = 13,731,904,759,339,644,092,416
  5. Step 5: Solve for x
    x = 13,731,904,759,339,644,092,416/57,779,294,022
  6. Step 6: Final answer
    x = 237,661,345,500.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.