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Finding the Third Proportional to 30,295,303.50 and 47,979,241.50

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Solution

The third proportional to 30,295,303.50 and 47,979,241.50 is: 75,985,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295,303.50 : 47,979,241.50 = 47,979,241.50 : x
  2. Step 2: Convert to fraction form
    30,295,303.50/47,979,241.50 = 47,979,241.50/x
  3. Step 3: Cross multiply
    30,295,303.50x = 47,979,241.50 × 47,979,241.50
  4. Step 4: Simplify right side
    30,295,303.50x = 2,302,007,614,915,322
  5. Step 5: Solve for x
    x = 2,302,007,614,915,322/30,295,303.50
  6. Step 6: Final answer
    x = 75,985,626.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.