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Finding the Third Proportional to 1,895,252,542.31 and 4,053,404,104.03

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Solution

The third proportional to 1,895,252,542.31 and 4,053,404,104.03 is: 8,669,074,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895,252,542.31 : 4,053,404,104.03 = 4,053,404,104.03 : x
  2. Step 2: Convert to fraction form
    1,895,252,542.31/4,053,404,104.03 = 4,053,404,104.03/x
  3. Step 3: Cross multiply
    1,895,252,542.31x = 4,053,404,104.03 × 4,053,404,104.03
  4. Step 4: Simplify right side
    1,895,252,542.31x = 16,430,084,830,576,973,824
  5. Step 5: Solve for x
    x = 16,430,084,830,576,973,824/1,895,252,542.31
  6. Step 6: Final answer
    x = 8,669,074,154.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.