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Finding the Third Proportional to 1,283,179,601,407 and 2,752,633,688,519

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Solution

The third proportional to 1,283,179,601,407 and 2,752,633,688,519 is: 5,904,857,133,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,179,601,407 : 2,752,633,688,519 = 2,752,633,688,519 : x
  2. Step 2: Convert to fraction form
    1,283,179,601,407/2,752,633,688,519 = 2,752,633,688,519/x
  3. Step 3: Cross multiply
    1,283,179,601,407x = 2,752,633,688,519 × 2,752,633,688,519
  4. Step 4: Simplify right side
    1,283,179,601,407x = 7,576,992,223,169,714,635,931,648
  5. Step 5: Solve for x
    x = 7,576,992,223,169,714,635,931,648/1,283,179,601,407
  6. Step 6: Final answer
    x = 5,904,857,133,686.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.