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Finding the Third Proportional to 57,779,293,098 and 117,183,208,420

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Solution

The third proportional to 57,779,293,098 and 117,183,208,420 is: 237,661,341,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,779,293,098 : 117,183,208,420 = 117,183,208,420 : x
  2. Step 2: Convert to fraction form
    57,779,293,098/117,183,208,420 = 117,183,208,420/x
  3. Step 3: Cross multiply
    57,779,293,098x = 117,183,208,420 × 117,183,208,420
  4. Step 4: Simplify right side
    57,779,293,098x = 13,731,904,335,605,158,379,520
  5. Step 5: Solve for x
    x = 13,731,904,335,605,158,379,520/57,779,293,098
  6. Step 6: Final answer
    x = 237,661,341,967.52

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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.