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Finding the Third Proportional to 692,810,366 and 1,507,583,296

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Solution

The third proportional to 692,810,366 and 1,507,583,296 is: 3,280,562,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,810,366 : 1,507,583,296 = 1,507,583,296 : x
  2. Step 2: Convert to fraction form
    692,810,366/1,507,583,296 = 1,507,583,296/x
  3. Step 3: Cross multiply
    692,810,366x = 1,507,583,296 × 1,507,583,296
  4. Step 4: Simplify right side
    692,810,366x = 2,272,807,394,378,223,616
  5. Step 5: Solve for x
    x = 2,272,807,394,378,223,616/692,810,366
  6. Step 6: Final answer
    x = 3,280,562,049.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.