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Finding the Third Proportional to 322,215,391.55 and 477,283,020.47

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Solution

The third proportional to 322,215,391.55 and 477,283,020.47 is: 706,977,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,215,391.55 : 477,283,020.47 = 477,283,020.47 : x
  2. Step 2: Convert to fraction form
    322,215,391.55/477,283,020.47 = 477,283,020.47/x
  3. Step 3: Cross multiply
    322,215,391.55x = 477,283,020.47 × 477,283,020.47
  4. Step 4: Simplify right side
    322,215,391.55x = 227,799,081,627,773,216
  5. Step 5: Solve for x
    x = 227,799,081,627,773,216/322,215,391.55
  6. Step 6: Final answer
    x = 706,977,654.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.