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Finding the Third Proportional to 375,022,616 and 822,655,824

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Solution

The third proportional to 375,022,616 and 822,655,824 is: 1,804,591,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,022,616 : 822,655,824 = 822,655,824 : x
  2. Step 2: Convert to fraction form
    375,022,616/822,655,824 = 822,655,824/x
  3. Step 3: Cross multiply
    375,022,616x = 822,655,824 × 822,655,824
  4. Step 4: Simplify right side
    375,022,616x = 676,762,604,761,118,976
  5. Step 5: Solve for x
    x = 676,762,604,761,118,976/375,022,616
  6. Step 6: Final answer
    x = 1,804,591,445.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.