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Finding the Third Proportional to 474,750,736 and 1,000,512,032

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Solution

The third proportional to 474,750,736 and 1,000,512,032 is: 2,108,526,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,750,736 : 1,000,512,032 = 1,000,512,032 : x
  2. Step 2: Convert to fraction form
    474,750,736/1,000,512,032 = 1,000,512,032/x
  3. Step 3: Cross multiply
    474,750,736x = 1,000,512,032 × 1,000,512,032
  4. Step 4: Simplify right side
    474,750,736x = 1,001,024,326,176,769,024
  5. Step 5: Solve for x
    x = 1,001,024,326,176,769,024/474,750,736
  6. Step 6: Final answer
    x = 2,108,526,117.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.