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Finding the Third Proportional to 1,814,632,382 and 2,802,536,623

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Solution

The third proportional to 1,814,632,382 and 2,802,536,623 is: 4,328,265,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814,632,382 : 2,802,536,623 = 2,802,536,623 : x
  2. Step 2: Convert to fraction form
    1,814,632,382/2,802,536,623 = 2,802,536,623/x
  3. Step 3: Cross multiply
    1,814,632,382x = 2,802,536,623 × 2,802,536,623
  4. Step 4: Simplify right side
    1,814,632,382x = 7,854,211,523,256,244,224
  5. Step 5: Solve for x
    x = 7,854,211,523,256,244,224/1,814,632,382
  6. Step 6: Final answer
    x = 4,328,265,934.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.