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Finding the Third Proportional to 207,118,782 and 446,517,684

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Solution

The third proportional to 207,118,782 and 446,517,684 is: 962,626,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,118,782 : 446,517,684 = 446,517,684 : x
  2. Step 2: Convert to fraction form
    207,118,782/446,517,684 = 446,517,684/x
  3. Step 3: Cross multiply
    207,118,782x = 446,517,684 × 446,517,684
  4. Step 4: Simplify right side
    207,118,782x = 199,378,042,124,723,840
  5. Step 5: Solve for x
    x = 199,378,042,124,723,840/207,118,782
  6. Step 6: Final answer
    x = 962,626,567.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.