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Finding the Third Proportional to 1,882,236,384 and 2,847,562,650

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Solution

The third proportional to 1,882,236,384 and 2,847,562,650 is: 4,307,967,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882,236,384 : 2,847,562,650 = 2,847,562,650 : x
  2. Step 2: Convert to fraction form
    1,882,236,384/2,847,562,650 = 2,847,562,650/x
  3. Step 3: Cross multiply
    1,882,236,384x = 2,847,562,650 × 2,847,562,650
  4. Step 4: Simplify right side
    1,882,236,384x = 8,108,613,045,675,022,336
  5. Step 5: Solve for x
    x = 8,108,613,045,675,022,336/1,882,236,384
  6. Step 6: Final answer
    x = 4,307,967,434.17

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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.