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Finding the Third Proportional to 829,307,108 and 1,814,818,504

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Solution

The third proportional to 829,307,108 and 1,814,818,504 is: 3,971,467,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,307,108 : 1,814,818,504 = 1,814,818,504 : x
  2. Step 2: Convert to fraction form
    829,307,108/1,814,818,504 = 1,814,818,504/x
  3. Step 3: Cross multiply
    829,307,108x = 1,814,818,504 × 1,814,818,504
  4. Step 4: Simplify right side
    829,307,108x = 3,293,566,202,460,797,952
  5. Step 5: Solve for x
    x = 3,293,566,202,460,797,952/829,307,108
  6. Step 6: Final answer
    x = 3,971,467,470.48

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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.