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Finding the Third Proportional to 382,329,316.69 and 823,488,214.50

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Solution

The third proportional to 382,329,316.69 and 823,488,214.50 is: 1,773,687,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,329,316.69 : 823,488,214.50 = 823,488,214.50 : x
  2. Step 2: Convert to fraction form
    382,329,316.69/823,488,214.50 = 823,488,214.50/x
  3. Step 3: Cross multiply
    382,329,316.69x = 823,488,214.50 × 823,488,214.50
  4. Step 4: Simplify right side
    382,329,316.69x = 678,132,839,420,397,952
  5. Step 5: Solve for x
    x = 678,132,839,420,397,952/382,329,316.69
  6. Step 6: Final answer
    x = 1,773,687,786.48

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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.