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Finding the Third Proportional to 1,211,025,166 and 2,651,317,772

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Solution

The third proportional to 1,211,025,166 and 2,651,317,772 is: 5,804,574,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,025,166 : 2,651,317,772 = 2,651,317,772 : x
  2. Step 2: Convert to fraction form
    1,211,025,166/2,651,317,772 = 2,651,317,772/x
  3. Step 3: Cross multiply
    1,211,025,166x = 2,651,317,772 × 2,651,317,772
  4. Step 4: Simplify right side
    1,211,025,166x = 7,029,485,928,123,043,840
  5. Step 5: Solve for x
    x = 7,029,485,928,123,043,840/1,211,025,166
  6. Step 6: Final answer
    x = 5,804,574,607.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.