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Finding the Third Proportional to 1,299,496,412 and 2,837,122,612

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Solution

The third proportional to 1,299,496,412 and 2,837,122,612 is: 6,194,141,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,496,412 : 2,837,122,612 = 2,837,122,612 : x
  2. Step 2: Convert to fraction form
    1,299,496,412/2,837,122,612 = 2,837,122,612/x
  3. Step 3: Cross multiply
    1,299,496,412x = 2,837,122,612 × 2,837,122,612
  4. Step 4: Simplify right side
    1,299,496,412x = 8,049,264,715,521,702,912
  5. Step 5: Solve for x
    x = 8,049,264,715,521,702,912/1,299,496,412
  6. Step 6: Final answer
    x = 6,194,141,546.83

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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.