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Finding the Third Proportional to 296,722,644 and 436,195,446

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Solution

The third proportional to 296,722,644 and 436,195,446 is: 641,226,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,722,644 : 436,195,446 = 436,195,446 : x
  2. Step 2: Convert to fraction form
    296,722,644/436,195,446 = 436,195,446/x
  3. Step 3: Cross multiply
    296,722,644x = 436,195,446 × 436,195,446
  4. Step 4: Simplify right side
    296,722,644x = 190,266,467,111,138,912
  5. Step 5: Solve for x
    x = 190,266,467,111,138,912/296,722,644
  6. Step 6: Final answer
    x = 641,226,650.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.