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Finding the Third Proportional to 629,280,100 and 952,655,766

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Solution

The third proportional to 629,280,100 and 952,655,766 is: 1,442,208,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,280,100 : 952,655,766 = 952,655,766 : x
  2. Step 2: Convert to fraction form
    629,280,100/952,655,766 = 952,655,766/x
  3. Step 3: Cross multiply
    629,280,100x = 952,655,766 × 952,655,766
  4. Step 4: Simplify right side
    629,280,100x = 907,553,008,493,046,784
  5. Step 5: Solve for x
    x = 907,553,008,493,046,784/629,280,100
  6. Step 6: Final answer
    x = 1,442,208,340.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.