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Finding the Third Proportional to 656,889,867 and 918,370,695

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Solution

The third proportional to 656,889,867 and 918,370,695 is: 1,283,936,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,889,867 : 918,370,695 = 918,370,695 : x
  2. Step 2: Convert to fraction form
    656,889,867/918,370,695 = 918,370,695/x
  3. Step 3: Cross multiply
    656,889,867x = 918,370,695 × 918,370,695
  4. Step 4: Simplify right side
    656,889,867x = 843,404,733,434,782,976
  5. Step 5: Solve for x
    x = 843,404,733,434,782,976/656,889,867
  6. Step 6: Final answer
    x = 1,283,936,281.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.