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Finding the Third Proportional to 13,971,054,898 and 30,470,723,696

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Solution

The third proportional to 13,971,054,898 and 30,470,723,696 is: 66,456,327,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971,054,898 : 30,470,723,696 = 30,470,723,696 : x
  2. Step 2: Convert to fraction form
    13,971,054,898/30,470,723,696 = 30,470,723,696/x
  3. Step 3: Cross multiply
    13,971,054,898x = 30,470,723,696 × 30,470,723,696
  4. Step 4: Simplify right side
    13,971,054,898x = 928,465,002,557,975,953,408
  5. Step 5: Solve for x
    x = 928,465,002,557,975,953,408/13,971,054,898
  6. Step 6: Final answer
    x = 66,456,327,695.83

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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.