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Finding the Third Proportional to 384,923,044 and 556,147,446

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Solution

The third proportional to 384,923,044 and 556,147,446 is: 803,537,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,923,044 : 556,147,446 = 556,147,446 : x
  2. Step 2: Convert to fraction form
    384,923,044/556,147,446 = 556,147,446/x
  3. Step 3: Cross multiply
    384,923,044x = 556,147,446 × 556,147,446
  4. Step 4: Simplify right side
    384,923,044x = 309,299,981,692,322,944
  5. Step 5: Solve for x
    x = 309,299,981,692,322,944/384,923,044
  6. Step 6: Final answer
    x = 803,537,191.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.