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Finding the Third Proportional to 12,433,664,758 and 27,045,839,036

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Solution

The third proportional to 12,433,664,758 and 27,045,839,036 is: 58,830,395,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433,664,758 : 27,045,839,036 = 27,045,839,036 : x
  2. Step 2: Convert to fraction form
    12,433,664,758/27,045,839,036 = 27,045,839,036/x
  3. Step 3: Cross multiply
    12,433,664,758x = 27,045,839,036 × 27,045,839,036
  4. Step 4: Simplify right side
    12,433,664,758x = 731,477,409,161,221,373,952
  5. Step 5: Solve for x
    x = 731,477,409,161,221,373,952/12,433,664,758
  6. Step 6: Final answer
    x = 58,830,395,012.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.