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Finding the Third Proportional to 1,279,973,424,795 and 1,849,340,561,673

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Solution

The third proportional to 1,279,973,424,795 and 1,849,340,561,673 is: 2,671,977,751,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,973,424,795 : 1,849,340,561,673 = 1,849,340,561,673 : x
  2. Step 2: Convert to fraction form
    1,279,973,424,795/1,849,340,561,673 = 1,849,340,561,673/x
  3. Step 3: Cross multiply
    1,279,973,424,795x = 1,849,340,561,673 × 1,849,340,561,673
  4. Step 4: Simplify right side
    1,279,973,424,795x = 3,420,060,513,049,006,940,618,752
  5. Step 5: Solve for x
    x = 3,420,060,513,049,006,940,618,752/1,279,973,424,795
  6. Step 6: Final answer
    x = 2,671,977,751,098.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.