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Finding the Third Proportional to 546,543,916 and 1,180,177,083

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Solution

The third proportional to 546,543,916 and 1,180,177,083 is: 2,548,409,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,543,916 : 1,180,177,083 = 1,180,177,083 : x
  2. Step 2: Convert to fraction form
    546,543,916/1,180,177,083 = 1,180,177,083/x
  3. Step 3: Cross multiply
    546,543,916x = 1,180,177,083 × 1,180,177,083
  4. Step 4: Simplify right side
    546,543,916x = 1,392,817,947,238,388,992
  5. Step 5: Solve for x
    x = 1,392,817,947,238,388,992/546,543,916
  6. Step 6: Final answer
    x = 2,548,409,938.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.