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Finding the Third Proportional to 31,179,848,358 and 72,755,493,948

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Solution

The third proportional to 31,179,848,358 and 72,755,493,948 is: 169,768,686,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179,848,358 : 72,755,493,948 = 72,755,493,948 : x
  2. Step 2: Convert to fraction form
    31,179,848,358/72,755,493,948 = 72,755,493,948/x
  3. Step 3: Cross multiply
    31,179,848,358x = 72,755,493,948 × 72,755,493,948
  4. Step 4: Simplify right side
    31,179,848,358x = 5,293,361,899,617,465,139,200
  5. Step 5: Solve for x
    x = 5,293,361,899,617,465,139,200/31,179,848,358
  6. Step 6: Final answer
    x = 169,768,686,455.44

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.