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Finding the Third Proportional to 274,790,674 and 592,626,961.50

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Solution

The third proportional to 274,790,674 and 592,626,961.50 is: 1,278,088,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,790,674 : 592,626,961.50 = 592,626,961.50 : x
  2. Step 2: Convert to fraction form
    274,790,674/592,626,961.50 = 592,626,961.50/x
  3. Step 3: Cross multiply
    274,790,674x = 592,626,961.50 × 592,626,961.50
  4. Step 4: Simplify right side
    274,790,674x = 351,206,715,496,722,496
  5. Step 5: Solve for x
    x = 351,206,715,496,722,496/274,790,674
  6. Step 6: Final answer
    x = 1,278,088,191.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.