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Finding the Third Proportional to 817,652,253,488 and 1,789,182,185,644

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Solution

The third proportional to 817,652,253,488 and 1,789,182,185,644 is: 3,915,078,665,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,652,253,488 : 1,789,182,185,644 = 1,789,182,185,644 : x
  2. Step 2: Convert to fraction form
    817,652,253,488/1,789,182,185,644 = 1,789,182,185,644/x
  3. Step 3: Cross multiply
    817,652,253,488x = 1,789,182,185,644 × 1,789,182,185,644
  4. Step 4: Simplify right side
    817,652,253,488x = 3,201,172,893,425,840,936,714,240
  5. Step 5: Solve for x
    x = 3,201,172,893,425,840,936,714,240/817,652,253,488
  6. Step 6: Final answer
    x = 3,915,078,665,496.30

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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.