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Finding the Third Proportional to 151,768,456,137 and 337,470,172,930

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Solution

The third proportional to 151,768,456,137 and 337,470,172,930 is: 750,393,859,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,768,456,137 : 337,470,172,930 = 337,470,172,930 : x
  2. Step 2: Convert to fraction form
    151,768,456,137/337,470,172,930 = 337,470,172,930/x
  3. Step 3: Cross multiply
    151,768,456,137x = 337,470,172,930 × 337,470,172,930
  4. Step 4: Simplify right side
    151,768,456,137x = 113,886,117,617,404,108,341,248
  5. Step 5: Solve for x
    x = 113,886,117,617,404,108,341,248/151,768,456,137
  6. Step 6: Final answer
    x = 750,393,859,937.54

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.