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Finding the Third Proportional to 217,685,448 and 473,632,056

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Solution

The third proportional to 217,685,448 and 473,632,056 is: 1,030,511,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,685,448 : 473,632,056 = 473,632,056 : x
  2. Step 2: Convert to fraction form
    217,685,448/473,632,056 = 473,632,056/x
  3. Step 3: Cross multiply
    217,685,448x = 473,632,056 × 473,632,056
  4. Step 4: Simplify right side
    217,685,448x = 224,327,324,470,787,136
  5. Step 5: Solve for x
    x = 224,327,324,470,787,136/217,685,448
  6. Step 6: Final answer
    x = 1,030,511,348.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.