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Finding the Third Proportional to 1,177,562,114 and 2,569,012,696

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Solution

The third proportional to 1,177,562,114 and 2,569,012,696 is: 5,604,652,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,562,114 : 2,569,012,696 = 2,569,012,696 : x
  2. Step 2: Convert to fraction form
    1,177,562,114/2,569,012,696 = 2,569,012,696/x
  3. Step 3: Cross multiply
    1,177,562,114x = 2,569,012,696 × 2,569,012,696
  4. Step 4: Simplify right side
    1,177,562,114x = 6,599,826,232,209,188,864
  5. Step 5: Solve for x
    x = 6,599,826,232,209,188,864/1,177,562,114
  6. Step 6: Final answer
    x = 5,604,652,318.33

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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.