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Finding the Third Proportional to 137,020,876 and 319,726,424

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Solution

The third proportional to 137,020,876 and 319,726,424 is: 746,054,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020,876 : 319,726,424 = 319,726,424 : x
  2. Step 2: Convert to fraction form
    137,020,876/319,726,424 = 319,726,424/x
  3. Step 3: Cross multiply
    137,020,876x = 319,726,424 × 319,726,424
  4. Step 4: Simplify right side
    137,020,876x = 102,224,986,203,827,776
  5. Step 5: Solve for x
    x = 102,224,986,203,827,776/137,020,876
  6. Step 6: Final answer
    x = 746,054,099.11

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Why These Related Problems?

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