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Finding the Third Proportional to 196,365,629 and 427,207,626

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Solution

The third proportional to 196,365,629 and 427,207,626 is: 929,421,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365,629 : 427,207,626 = 427,207,626 : x
  2. Step 2: Convert to fraction form
    196,365,629/427,207,626 = 427,207,626/x
  3. Step 3: Cross multiply
    196,365,629x = 427,207,626 × 427,207,626
  4. Step 4: Simplify right side
    196,365,629x = 182,506,355,712,555,872
  5. Step 5: Solve for x
    x = 182,506,355,712,555,872/196,365,629
  6. Step 6: Final answer
    x = 929,421,083.73

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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.