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Finding the Third Proportional to 852,734,699,541 and 1,896,128,706,957

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Solution

The third proportional to 852,734,699,541 and 1,896,128,706,957 is: 4,216,204,729,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,734,699,541 : 1,896,128,706,957 = 1,896,128,706,957 : x
  2. Step 2: Convert to fraction form
    852,734,699,541/1,896,128,706,957 = 1,896,128,706,957/x
  3. Step 3: Cross multiply
    852,734,699,541x = 1,896,128,706,957 × 1,896,128,706,957
  4. Step 4: Simplify right side
    852,734,699,541x = 3,595,304,073,346,424,743,395,328
  5. Step 5: Solve for x
    x = 3,595,304,073,346,424,743,395,328/852,734,699,541
  6. Step 6: Final answer
    x = 4,216,204,729,655.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.