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Finding the Third Proportional to 755,087,288,556 and 1,617,877,361,112

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Solution

The third proportional to 755,087,288,556 and 1,617,877,361,112 is: 3,466,522,606,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,087,288,556 : 1,617,877,361,112 = 1,617,877,361,112 : x
  2. Step 2: Convert to fraction form
    755,087,288,556/1,617,877,361,112 = 1,617,877,361,112/x
  3. Step 3: Cross multiply
    755,087,288,556x = 1,617,877,361,112 × 1,617,877,361,112
  4. Step 4: Simplify right side
    755,087,288,556x = 2,617,527,155,598,728,965,914,624
  5. Step 5: Solve for x
    x = 2,617,527,155,598,728,965,914,624/755,087,288,556
  6. Step 6: Final answer
    x = 3,466,522,606,418.64

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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.