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Finding the Third Proportional to 3,433,918,764 and 7,438,310,268

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Solution

The third proportional to 3,433,918,764 and 7,438,310,268 is: 16,112,337,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,918,764 : 7,438,310,268 = 7,438,310,268 : x
  2. Step 2: Convert to fraction form
    3,433,918,764/7,438,310,268 = 7,438,310,268/x
  3. Step 3: Cross multiply
    3,433,918,764x = 7,438,310,268 × 7,438,310,268
  4. Step 4: Simplify right side
    3,433,918,764x = 55,328,459,643,034,230,784
  5. Step 5: Solve for x
    x = 55,328,459,643,034,230,784/3,433,918,764
  6. Step 6: Final answer
    x = 16,112,337,957.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.