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Finding the Third Proportional to 1,636,561,466 and 3,589,969,660

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Solution

The third proportional to 1,636,561,466 and 3,589,969,660 is: 7,874,975,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,561,466 : 3,589,969,660 = 3,589,969,660 : x
  2. Step 2: Convert to fraction form
    1,636,561,466/3,589,969,660 = 3,589,969,660/x
  3. Step 3: Cross multiply
    1,636,561,466x = 3,589,969,660 × 3,589,969,660
  4. Step 4: Simplify right side
    1,636,561,466x = 12,887,882,159,720,515,584
  5. Step 5: Solve for x
    x = 12,887,882,159,720,515,584/1,636,561,466
  6. Step 6: Final answer
    x = 7,874,975,934.28

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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.