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Finding the Third Proportional to 1,602,653,391.21 and 3,481,194,463.17

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Solution

The third proportional to 1,602,653,391.21 and 3,481,194,463.17 is: 7,561,656,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,653,391.21 : 3,481,194,463.17 = 3,481,194,463.17 : x
  2. Step 2: Convert to fraction form
    1,602,653,391.21/3,481,194,463.17 = 3,481,194,463.17/x
  3. Step 3: Cross multiply
    1,602,653,391.21x = 3,481,194,463.17 × 3,481,194,463.17
  4. Step 4: Simplify right side
    1,602,653,391.21x = 12,118,714,890,417,997,824
  5. Step 5: Solve for x
    x = 12,118,714,890,417,997,824/1,602,653,391.21
  6. Step 6: Final answer
    x = 7,561,656,785.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.