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Finding the Third Proportional to 852,734,694,051 and 1,896,128,696,218.50

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Solution

The third proportional to 852,734,694,051 and 1,896,128,696,218.50 is: 4,216,204,709,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,734,694,051 : 1,896,128,696,218.50 = 1,896,128,696,218.50 : x
  2. Step 2: Convert to fraction form
    852,734,694,051/1,896,128,696,218.50 = 1,896,128,696,218.50/x
  3. Step 3: Cross multiply
    852,734,694,051x = 1,896,128,696,218.50 × 1,896,128,696,218.50
  4. Step 4: Simplify right side
    852,734,694,051x = 3,595,304,032,623,268,735,221,760
  5. Step 5: Solve for x
    x = 3,595,304,032,623,268,735,221,760/852,734,694,051
  6. Step 6: Final answer
    x = 4,216,204,709,044.29

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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.