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Finding the Third Proportional to 3,185,543,747.25 and 4,822,579,407.38

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Solution

The third proportional to 3,185,543,747.25 and 4,822,579,407.38 is: 7,300,879,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,543,747.25 : 4,822,579,407.38 = 4,822,579,407.38 : x
  2. Step 2: Convert to fraction form
    3,185,543,747.25/4,822,579,407.38 = 4,822,579,407.38/x
  3. Step 3: Cross multiply
    3,185,543,747.25x = 4,822,579,407.38 × 4,822,579,407.38
  4. Step 4: Simplify right side
    3,185,543,747.25x = 23,257,272,140,437,405,696
  5. Step 5: Solve for x
    x = 23,257,272,140,437,405,696/3,185,543,747.25
  6. Step 6: Final answer
    x = 7,300,879,845.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.