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Finding the Third Proportional to 14,196,858,658 and 30,749,591,034

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Solution

The third proportional to 14,196,858,658 and 30,749,591,034 is: 66,601,870,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196,858,658 : 30,749,591,034 = 30,749,591,034 : x
  2. Step 2: Convert to fraction form
    14,196,858,658/30,749,591,034 = 30,749,591,034/x
  3. Step 3: Cross multiply
    14,196,858,658x = 30,749,591,034 × 30,749,591,034
  4. Step 4: Simplify right side
    14,196,858,658x = 945,537,348,758,253,207,552
  5. Step 5: Solve for x
    x = 945,537,348,758,253,207,552/14,196,858,658
  6. Step 6: Final answer
    x = 66,601,870,986.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.