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Finding the Third Proportional to 197,631,747 and 429,285,080

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Solution

The third proportional to 197,631,747 and 429,285,080 is: 932,470,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,631,747 : 429,285,080 = 429,285,080 : x
  2. Step 2: Convert to fraction form
    197,631,747/429,285,080 = 429,285,080/x
  3. Step 3: Cross multiply
    197,631,747x = 429,285,080 × 429,285,080
  4. Step 4: Simplify right side
    197,631,747x = 184,285,679,910,606,400
  5. Step 5: Solve for x
    x = 184,285,679,910,606,400/197,631,747
  6. Step 6: Final answer
    x = 932,470,024.21

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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.