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Finding the Third Proportional to 583,786,852 and 1,269,187,880

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Solution

The third proportional to 583,786,852 and 1,269,187,880 is: 2,759,291,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,786,852 : 1,269,187,880 = 1,269,187,880 : x
  2. Step 2: Convert to fraction form
    583,786,852/1,269,187,880 = 1,269,187,880/x
  3. Step 3: Cross multiply
    583,786,852x = 1,269,187,880 × 1,269,187,880
  4. Step 4: Simplify right side
    583,786,852x = 1,610,837,874,738,894,336
  5. Step 5: Solve for x
    x = 1,610,837,874,738,894,336/583,786,852
  6. Step 6: Final answer
    x = 2,759,291,116.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.