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Finding the Third Proportional to 852,734,699,944 and 1,896,128,708,016

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Solution

The third proportional to 852,734,699,944 and 1,896,128,708,016 is: 4,216,204,732,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,734,699,944 : 1,896,128,708,016 = 1,896,128,708,016 : x
  2. Step 2: Convert to fraction form
    852,734,699,944/1,896,128,708,016 = 1,896,128,708,016/x
  3. Step 3: Cross multiply
    852,734,699,944x = 1,896,128,708,016 × 1,896,128,708,016
  4. Step 4: Simplify right side
    852,734,699,944x = 3,595,304,077,362,425,323,585,536
  5. Step 5: Solve for x
    x = 3,595,304,077,362,425,323,585,536/852,734,699,944
  6. Step 6: Final answer
    x = 4,216,204,732,372.84

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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.