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Finding the Third Proportional to 1,637,351,932 and 3,561,584,851

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Solution

The third proportional to 1,637,351,932 and 3,561,584,851 is: 7,747,196,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,351,932 : 3,561,584,851 = 3,561,584,851 : x
  2. Step 2: Convert to fraction form
    1,637,351,932/3,561,584,851 = 3,561,584,851/x
  3. Step 3: Cross multiply
    1,637,351,932x = 3,561,584,851 × 3,561,584,851
  4. Step 4: Simplify right side
    1,637,351,932x = 12,684,886,650,872,692,736
  5. Step 5: Solve for x
    x = 12,684,886,650,872,692,736/1,637,351,932
  6. Step 6: Final answer
    x = 7,747,196,190.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.