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Finding the Third Proportional to 1,560,705,678 and 2,254,950,176

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Solution

The third proportional to 1,560,705,678 and 2,254,950,176 is: 3,258,013,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,705,678 : 2,254,950,176 = 2,254,950,176 : x
  2. Step 2: Convert to fraction form
    1,560,705,678/2,254,950,176 = 2,254,950,176/x
  3. Step 3: Cross multiply
    1,560,705,678x = 2,254,950,176 × 2,254,950,176
  4. Step 4: Simplify right side
    1,560,705,678x = 5,084,800,296,242,430,976
  5. Step 5: Solve for x
    x = 5,084,800,296,242,430,976/1,560,705,678
  6. Step 6: Final answer
    x = 3,258,013,581.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.