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Finding the Third Proportional to 577,405,443 and 1,347,325,927.50

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Solution

The third proportional to 577,405,443 and 1,347,325,927.50 is: 3,143,869,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,405,443 : 1,347,325,927.50 = 1,347,325,927.50 : x
  2. Step 2: Convert to fraction form
    577,405,443/1,347,325,927.50 = 1,347,325,927.50/x
  3. Step 3: Cross multiply
    577,405,443x = 1,347,325,927.50 × 1,347,325,927.50
  4. Step 4: Simplify right side
    577,405,443x = 1,815,287,154,913,735,168
  5. Step 5: Solve for x
    x = 1,815,287,154,913,735,168/577,405,443
  6. Step 6: Final answer
    x = 3,143,869,142.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.