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Finding the Third Proportional to 217,675,564 and 473,613,422

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Solution

The third proportional to 217,675,564 and 473,613,422 is: 1,030,477,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,675,564 : 473,613,422 = 473,613,422 : x
  2. Step 2: Convert to fraction form
    217,675,564/473,613,422 = 473,613,422/x
  3. Step 3: Cross multiply
    217,675,564x = 473,613,422 × 473,613,422
  4. Step 4: Simplify right side
    217,675,564x = 224,309,673,498,550,080
  5. Step 5: Solve for x
    x = 224,309,673,498,550,080/217,675,564
  6. Step 6: Final answer
    x = 1,030,477,052.07

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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.