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Finding the Third Proportional to 301,411,682 and 649,007,524.50

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Solution

The third proportional to 301,411,682 and 649,007,524.50 is: 1,397,459,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,411,682 : 649,007,524.50 = 649,007,524.50 : x
  2. Step 2: Convert to fraction form
    301,411,682/649,007,524.50 = 649,007,524.50/x
  3. Step 3: Cross multiply
    301,411,682x = 649,007,524.50 × 649,007,524.50
  4. Step 4: Simplify right side
    301,411,682x = 421,210,766,857,618,112
  5. Step 5: Solve for x
    x = 421,210,766,857,618,112/301,411,682
  6. Step 6: Final answer
    x = 1,397,459,992.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.