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Finding the Third Proportional to 631,127,643,543 and 1,351,620,296,649

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Solution

The third proportional to 631,127,643,543 and 1,351,620,296,649 is: 2,894,624,320,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,127,643,543 : 1,351,620,296,649 = 1,351,620,296,649 : x
  2. Step 2: Convert to fraction form
    631,127,643,543/1,351,620,296,649 = 1,351,620,296,649/x
  3. Step 3: Cross multiply
    631,127,643,543x = 1,351,620,296,649 × 1,351,620,296,649
  4. Step 4: Simplify right side
    631,127,643,543x = 1,826,877,426,313,530,647,248,896
  5. Step 5: Solve for x
    x = 1,826,877,426,313,530,647,248,896/631,127,643,543
  6. Step 6: Final answer
    x = 2,894,624,320,458.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.