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Finding the Third Proportional to 536,656,630.50 and 805,552,958.25

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Solution

The third proportional to 536,656,630.50 and 805,552,958.25 is: 1,209,182,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,656,630.50 : 805,552,958.25 = 805,552,958.25 : x
  2. Step 2: Convert to fraction form
    536,656,630.50/805,552,958.25 = 805,552,958.25/x
  3. Step 3: Cross multiply
    536,656,630.50x = 805,552,958.25 × 805,552,958.25
  4. Step 4: Simplify right side
    536,656,630.50x = 648,915,568,545,326,208
  5. Step 5: Solve for x
    x = 648,915,568,545,326,208/536,656,630.50
  6. Step 6: Final answer
    x = 1,209,182,057.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.