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Finding the Third Proportional to 1,754,837,343 and 3,811,756,722

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Solution

The third proportional to 1,754,837,343 and 3,811,756,722 is: 8,279,678,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,837,343 : 3,811,756,722 = 3,811,756,722 : x
  2. Step 2: Convert to fraction form
    1,754,837,343/3,811,756,722 = 3,811,756,722/x
  3. Step 3: Cross multiply
    1,754,837,343x = 3,811,756,722 × 3,811,756,722
  4. Step 4: Simplify right side
    1,754,837,343x = 14,529,489,307,712,184,320
  5. Step 5: Solve for x
    x = 14,529,489,307,712,184,320/1,754,837,343
  6. Step 6: Final answer
    x = 8,279,678,664.05

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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.