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Finding the Third Proportional to 509,326,856 and 1,091,261,824

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Solution

The third proportional to 509,326,856 and 1,091,261,824 is: 2,338,090,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,326,856 : 1,091,261,824 = 1,091,261,824 : x
  2. Step 2: Convert to fraction form
    509,326,856/1,091,261,824 = 1,091,261,824/x
  3. Step 3: Cross multiply
    509,326,856x = 1,091,261,824 × 1,091,261,824
  4. Step 4: Simplify right side
    509,326,856x = 1,190,852,368,519,806,976
  5. Step 5: Solve for x
    x = 1,190,852,368,519,806,976/509,326,856
  6. Step 6: Final answer
    x = 2,338,090,667.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.