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Finding the Third Proportional to 12,433,664,765 and 27,045,839,049

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Solution

The third proportional to 12,433,664,765 and 27,045,839,049 is: 58,830,395,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433,664,765 : 27,045,839,049 = 27,045,839,049 : x
  2. Step 2: Convert to fraction form
    12,433,664,765/27,045,839,049 = 27,045,839,049/x
  3. Step 3: Cross multiply
    12,433,664,765x = 27,045,839,049 × 27,045,839,049
  4. Step 4: Simplify right side
    12,433,664,765x = 731,477,409,864,413,216,768
  5. Step 5: Solve for x
    x = 731,477,409,864,413,216,768/12,433,664,765
  6. Step 6: Final answer
    x = 58,830,395,035.54

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