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Finding the Third Proportional to 436,481,748 and 945,613,368

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Solution

The third proportional to 436,481,748 and 945,613,368 is: 2,048,618,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,481,748 : 945,613,368 = 945,613,368 : x
  2. Step 2: Convert to fraction form
    436,481,748/945,613,368 = 945,613,368/x
  3. Step 3: Cross multiply
    436,481,748x = 945,613,368 × 945,613,368
  4. Step 4: Simplify right side
    436,481,748x = 894,184,641,740,303,360
  5. Step 5: Solve for x
    x = 894,184,641,740,303,360/436,481,748
  6. Step 6: Final answer
    x = 2,048,618,632.59

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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.