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Finding the Third Proportional to 691,148,433 and 1,523,174,932

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Solution

The third proportional to 691,148,433 and 1,523,174,932 is: 3,356,821,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,148,433 : 1,523,174,932 = 1,523,174,932 : x
  2. Step 2: Convert to fraction form
    691,148,433/1,523,174,932 = 1,523,174,932/x
  3. Step 3: Cross multiply
    691,148,433x = 1,523,174,932 × 1,523,174,932
  4. Step 4: Simplify right side
    691,148,433x = 2,320,061,873,473,204,736
  5. Step 5: Solve for x
    x = 2,320,061,873,473,204,736/691,148,433
  6. Step 6: Final answer
    x = 3,356,821,433.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.