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Finding the Third Proportional to 2,124,858,559 and 4,548,209,241

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Solution

The third proportional to 2,124,858,559 and 4,548,209,241 is: 9,735,333,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124,858,559 : 4,548,209,241 = 4,548,209,241 : x
  2. Step 2: Convert to fraction form
    2,124,858,559/4,548,209,241 = 4,548,209,241/x
  3. Step 3: Cross multiply
    2,124,858,559x = 4,548,209,241 × 4,548,209,241
  4. Step 4: Simplify right side
    2,124,858,559x = 20,686,207,299,917,795,328
  5. Step 5: Solve for x
    x = 20,686,207,299,917,795,328/2,124,858,559
  6. Step 6: Final answer
    x = 9,735,333,776.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.