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Finding the Third Proportional to 7,166,662,804 and 11,127,317,414

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Solution

The third proportional to 7,166,662,804 and 11,127,317,414 is: 17,276,826,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166,662,804 : 11,127,317,414 = 11,127,317,414 : x
  2. Step 2: Convert to fraction form
    7,166,662,804/11,127,317,414 = 11,127,317,414/x
  3. Step 3: Cross multiply
    7,166,662,804x = 11,127,317,414 × 11,127,317,414
  4. Step 4: Simplify right side
    7,166,662,804x = 123,817,192,831,907,643,392
  5. Step 5: Solve for x
    x = 123,817,192,831,907,643,392/7,166,662,804
  6. Step 6: Final answer
    x = 17,276,826,916.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.