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Finding the Third Proportional to 648,285,799.50 and 1,419,521,823

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Solution

The third proportional to 648,285,799.50 and 1,419,521,823 is: 3,108,262,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,285,799.50 : 1,419,521,823 = 1,419,521,823 : x
  2. Step 2: Convert to fraction form
    648,285,799.50/1,419,521,823 = 1,419,521,823/x
  3. Step 3: Cross multiply
    648,285,799.50x = 1,419,521,823 × 1,419,521,823
  4. Step 4: Simplify right side
    648,285,799.50x = 2,015,042,205,973,243,392
  5. Step 5: Solve for x
    x = 2,015,042,205,973,243,392/648,285,799.50
  6. Step 6: Final answer
    x = 3,108,262,139.21

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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.