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Finding the Third Proportional to 67,021,617 and 144,629,043

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Solution

The third proportional to 67,021,617 and 144,629,043 is: 312,101,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,021,617 : 144,629,043 = 144,629,043 : x
  2. Step 2: Convert to fraction form
    67,021,617/144,629,043 = 144,629,043/x
  3. Step 3: Cross multiply
    67,021,617x = 144,629,043 × 144,629,043
  4. Step 4: Simplify right side
    67,021,617x = 20,917,560,079,095,848
  5. Step 5: Solve for x
    x = 20,917,560,079,095,848/67,021,617
  6. Step 6: Final answer
    x = 312,101,692.19

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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.