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Finding the Third Proportional to 2,331,596,334 and 3,334,210,205.25

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Solution

The third proportional to 2,331,596,334 and 3,334,210,205.25 is: 4,767,959,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331,596,334 : 3,334,210,205.25 = 3,334,210,205.25 : x
  2. Step 2: Convert to fraction form
    2,331,596,334/3,334,210,205.25 = 3,334,210,205.25/x
  3. Step 3: Cross multiply
    2,331,596,334x = 3,334,210,205.25 × 3,334,210,205.25
  4. Step 4: Simplify right side
    2,331,596,334x = 11,116,957,692,793,247,744
  5. Step 5: Solve for x
    x = 11,116,957,692,793,247,744/2,331,596,334
  6. Step 6: Final answer
    x = 4,767,959,843.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.