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Finding the Third Proportional to 467,295,079.88 and 997,135,200.75

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Solution

The third proportional to 467,295,079.88 and 997,135,200.75 is: 2,127,731,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,295,079.88 : 997,135,200.75 = 997,135,200.75 : x
  2. Step 2: Convert to fraction form
    467,295,079.88/997,135,200.75 = 997,135,200.75/x
  3. Step 3: Cross multiply
    467,295,079.88x = 997,135,200.75 × 997,135,200.75
  4. Step 4: Simplify right side
    467,295,079.88x = 994,278,608,574,742,784
  5. Step 5: Solve for x
    x = 994,278,608,574,742,784/467,295,079.88
  6. Step 6: Final answer
    x = 2,127,731,815.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.