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Finding the Third Proportional to 1,636,561,464 and 3,589,969,656

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Solution

The third proportional to 1,636,561,464 and 3,589,969,656 is: 7,874,975,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,561,464 : 3,589,969,656 = 3,589,969,656 : x
  2. Step 2: Convert to fraction form
    1,636,561,464/3,589,969,656 = 3,589,969,656/x
  3. Step 3: Cross multiply
    1,636,561,464x = 3,589,969,656 × 3,589,969,656
  4. Step 4: Simplify right side
    1,636,561,464x = 12,887,882,131,000,758,272
  5. Step 5: Solve for x
    x = 12,887,882,131,000,758,272/1,636,561,464
  6. Step 6: Final answer
    x = 7,874,975,926.36

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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.