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Finding the Third Proportional to 811,063,599.75 and 1,665,124,089.75

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Solution

The third proportional to 811,063,599.75 and 1,665,124,089.75 is: 3,418,521,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,063,599.75 : 1,665,124,089.75 = 1,665,124,089.75 : x
  2. Step 2: Convert to fraction form
    811,063,599.75/1,665,124,089.75 = 1,665,124,089.75/x
  3. Step 3: Cross multiply
    811,063,599.75x = 1,665,124,089.75 × 1,665,124,089.75
  4. Step 4: Simplify right side
    811,063,599.75x = 2,772,638,234,265,765,888
  5. Step 5: Solve for x
    x = 2,772,638,234,265,765,888/811,063,599.75
  6. Step 6: Final answer
    x = 3,418,521,352.85

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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.