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Finding the Third Proportional to 196,365,631 and 427,207,630

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Solution

The third proportional to 196,365,631 and 427,207,630 is: 929,421,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365,631 : 427,207,630 = 427,207,630 : x
  2. Step 2: Convert to fraction form
    196,365,631/427,207,630 = 427,207,630/x
  3. Step 3: Cross multiply
    196,365,631x = 427,207,630 × 427,207,630
  4. Step 4: Simplify right side
    196,365,631x = 182,506,359,130,216,896
  5. Step 5: Solve for x
    x = 182,506,359,130,216,896/196,365,631
  6. Step 6: Final answer
    x = 929,421,091.67

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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.