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Finding the Third Proportional to 1,265,194,424,502 and 1,927,392,983,694

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Solution

The third proportional to 1,265,194,424,502 and 1,927,392,983,694 is: 2,936,184,069,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,194,424,502 : 1,927,392,983,694 = 1,927,392,983,694 : x
  2. Step 2: Convert to fraction form
    1,265,194,424,502/1,927,392,983,694 = 1,927,392,983,694/x
  3. Step 3: Cross multiply
    1,265,194,424,502x = 1,927,392,983,694 × 1,927,392,983,694
  4. Step 4: Simplify right side
    1,265,194,424,502x = 3,714,843,713,592,859,830,517,760
  5. Step 5: Solve for x
    x = 3,714,843,713,592,859,830,517,760/1,265,194,424,502
  6. Step 6: Final answer
    x = 2,936,184,069,144.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.