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Finding the Third Proportional to 1,283,179,601,413 and 2,752,633,688,531

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Solution

The third proportional to 1,283,179,601,413 and 2,752,633,688,531 is: 5,904,857,133,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,179,601,413 : 2,752,633,688,531 = 2,752,633,688,531 : x
  2. Step 2: Convert to fraction form
    1,283,179,601,413/2,752,633,688,531 = 2,752,633,688,531/x
  3. Step 3: Cross multiply
    1,283,179,601,413x = 2,752,633,688,531 × 2,752,633,688,531
  4. Step 4: Simplify right side
    1,283,179,601,413x = 7,576,992,223,235,778,749,136,896
  5. Step 5: Solve for x
    x = 7,576,992,223,235,778,749,136,896/1,283,179,601,413
  6. Step 6: Final answer
    x = 5,904,857,133,710.84

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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.