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Finding the Third Proportional to 436,481,752 and 945,613,376

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Solution

The third proportional to 436,481,752 and 945,613,376 is: 2,048,618,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,481,752 : 945,613,376 = 945,613,376 : x
  2. Step 2: Convert to fraction form
    436,481,752/945,613,376 = 945,613,376/x
  3. Step 3: Cross multiply
    436,481,752x = 945,613,376 × 945,613,376
  4. Step 4: Simplify right side
    436,481,752x = 894,184,656,870,117,376
  5. Step 5: Solve for x
    x = 894,184,656,870,117,376/436,481,752
  6. Step 6: Final answer
    x = 2,048,618,648.48

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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.