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Finding the Third Proportional to 382,329,313.31 and 823,488,202.69

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Solution

The third proportional to 382,329,313.31 and 823,488,202.69 is: 1,773,687,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,329,313.31 : 823,488,202.69 = 823,488,202.69 : x
  2. Step 2: Convert to fraction form
    382,329,313.31/823,488,202.69 = 823,488,202.69/x
  3. Step 3: Cross multiply
    382,329,313.31x = 823,488,202.69 × 823,488,202.69
  4. Step 4: Simplify right side
    382,329,313.31x = 678,132,819,965,489,024
  5. Step 5: Solve for x
    x = 678,132,819,965,489,024/382,329,313.31
  6. Step 6: Final answer
    x = 1,773,687,751.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.