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Finding the Third Proportional to 269,193,721.50 and 585,626,643

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Solution

The third proportional to 269,193,721.50 and 585,626,643 is: 1,274,021,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,193,721.50 : 585,626,643 = 585,626,643 : x
  2. Step 2: Convert to fraction form
    269,193,721.50/585,626,643 = 585,626,643/x
  3. Step 3: Cross multiply
    269,193,721.50x = 585,626,643 × 585,626,643
  4. Step 4: Simplify right side
    269,193,721.50x = 342,958,564,991,449,472
  5. Step 5: Solve for x
    x = 342,958,564,991,449,472/269,193,721.50
  6. Step 6: Final answer
    x = 1,274,021,411.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.