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Finding the Third Proportional to 829,206,566 and 1,814,618,188

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Solution

The third proportional to 829,206,566 and 1,814,618,188 is: 3,971,072,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,206,566 : 1,814,618,188 = 1,814,618,188 : x
  2. Step 2: Convert to fraction form
    829,206,566/1,814,618,188 = 1,814,618,188/x
  3. Step 3: Cross multiply
    829,206,566x = 1,814,618,188 × 1,814,618,188
  4. Step 4: Simplify right side
    829,206,566x = 3,292,839,168,220,403,200
  5. Step 5: Solve for x
    x = 3,292,839,168,220,403,200/829,206,566
  6. Step 6: Final answer
    x = 3,971,072,231.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.