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Finding the Third Proportional to 287,787,546 and 632,957,827.50

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Solution

The third proportional to 287,787,546 and 632,957,827.50 is: 1,392,122,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,787,546 : 632,957,827.50 = 632,957,827.50 : x
  2. Step 2: Convert to fraction form
    287,787,546/632,957,827.50 = 632,957,827.50/x
  3. Step 3: Cross multiply
    287,787,546x = 632,957,827.50 × 632,957,827.50
  4. Step 4: Simplify right side
    287,787,546x = 400,635,611,393,519,744
  5. Step 5: Solve for x
    x = 400,635,611,393,519,744/287,787,546
  6. Step 6: Final answer
    x = 1,392,122,824.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.