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Finding the Third Proportional to 14,233,825,868 and 29,645,777,071

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Solution

The third proportional to 14,233,825,868 and 29,645,777,071 is: 61,745,317,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233,825,868 : 29,645,777,071 = 29,645,777,071 : x
  2. Step 2: Convert to fraction form
    14,233,825,868/29,645,777,071 = 29,645,777,071/x
  3. Step 3: Cross multiply
    14,233,825,868x = 29,645,777,071 × 29,645,777,071
  4. Step 4: Simplify right side
    14,233,825,868x = 878,872,098,143,429,328,896
  5. Step 5: Solve for x
    x = 878,872,098,143,429,328,896/14,233,825,868
  6. Step 6: Final answer
    x = 61,745,317,548.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.