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Finding the Third Proportional to 2,429,620,172 and 3,628,509,170

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Solution

The third proportional to 2,429,620,172 and 3,628,509,170 is: 5,418,986,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,620,172 : 3,628,509,170 = 3,628,509,170 : x
  2. Step 2: Convert to fraction form
    2,429,620,172/3,628,509,170 = 3,628,509,170/x
  3. Step 3: Cross multiply
    2,429,620,172x = 3,628,509,170 × 3,628,509,170
  4. Step 4: Simplify right side
    2,429,620,172x = 13,166,078,796,774,088,704
  5. Step 5: Solve for x
    x = 13,166,078,796,774,088,704/2,429,620,172
  6. Step 6: Final answer
    x = 5,418,986,452.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.