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Finding the Third Proportional to 1,882,236,372 and 2,847,562,632

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Solution

The third proportional to 1,882,236,372 and 2,847,562,632 is: 4,307,967,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882,236,372 : 2,847,562,632 = 2,847,562,632 : x
  2. Step 2: Convert to fraction form
    1,882,236,372/2,847,562,632 = 2,847,562,632/x
  3. Step 3: Cross multiply
    1,882,236,372x = 2,847,562,632 × 2,847,562,632
  4. Step 4: Simplify right side
    1,882,236,372x = 8,108,612,943,162,767,360
  5. Step 5: Solve for x
    x = 8,108,612,943,162,767,360/1,882,236,372
  6. Step 6: Final answer
    x = 4,307,967,407.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.