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Finding the Third Proportional to 1,177,562,112 and 2,569,012,692

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Solution

The third proportional to 1,177,562,112 and 2,569,012,692 is: 5,604,652,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,562,112 : 2,569,012,692 = 2,569,012,692 : x
  2. Step 2: Convert to fraction form
    1,177,562,112/2,569,012,692 = 2,569,012,692/x
  3. Step 3: Cross multiply
    1,177,562,112x = 2,569,012,692 × 2,569,012,692
  4. Step 4: Simplify right side
    1,177,562,112x = 6,599,826,211,657,086,976
  5. Step 5: Solve for x
    x = 6,599,826,211,657,086,976/1,177,562,112
  6. Step 6: Final answer
    x = 5,604,652,310.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.