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Finding the Third Proportional to 217,675,563 and 473,613,420

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Solution

The third proportional to 217,675,563 and 473,613,420 is: 1,030,477,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,675,563 : 473,613,420 = 473,613,420 : x
  2. Step 2: Convert to fraction form
    217,675,563/473,613,420 = 473,613,420/x
  3. Step 3: Cross multiply
    217,675,563x = 473,613,420 × 473,613,420
  4. Step 4: Simplify right side
    217,675,563x = 224,309,671,604,096,384
  5. Step 5: Solve for x
    x = 224,309,671,604,096,384/217,675,563
  6. Step 6: Final answer
    x = 1,030,477,048.10

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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.