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Finding the Third Proportional to 1,732,214,274 and 4,041,972,915

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Solution

The third proportional to 1,732,214,274 and 4,041,972,915 is: 9,431,595,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,214,274 : 4,041,972,915 = 4,041,972,915 : x
  2. Step 2: Convert to fraction form
    1,732,214,274/4,041,972,915 = 4,041,972,915/x
  3. Step 3: Cross multiply
    1,732,214,274x = 4,041,972,915 × 4,041,972,915
  4. Step 4: Simplify right side
    1,732,214,274x = 16,337,545,045,593,597,952
  5. Step 5: Solve for x
    x = 16,337,545,045,593,597,952/1,732,214,274
  6. Step 6: Final answer
    x = 9,431,595,900.59

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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.