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Finding the Third Proportional to 811,063,604.25 and 1,665,124,098.75

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Solution

The third proportional to 811,063,604.25 and 1,665,124,098.75 is: 3,418,521,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,063,604.25 : 1,665,124,098.75 = 1,665,124,098.75 : x
  2. Step 2: Convert to fraction form
    811,063,604.25/1,665,124,098.75 = 1,665,124,098.75/x
  3. Step 3: Cross multiply
    811,063,604.25x = 1,665,124,098.75 × 1,665,124,098.75
  4. Step 4: Simplify right side
    811,063,604.25x = 2,772,638,264,237,999,616
  5. Step 5: Solve for x
    x = 2,772,638,264,237,999,616/811,063,604.25
  6. Step 6: Final answer
    x = 3,418,521,370.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.