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Finding the Third Proportional to 2,923,866,925 and 6,383,525,872

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Solution

The third proportional to 2,923,866,925 and 6,383,525,872 is: 13,936,818,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,866,925 : 6,383,525,872 = 6,383,525,872 : x
  2. Step 2: Convert to fraction form
    2,923,866,925/6,383,525,872 = 6,383,525,872/x
  3. Step 3: Cross multiply
    2,923,866,925x = 6,383,525,872 × 6,383,525,872
  4. Step 4: Simplify right side
    2,923,866,925x = 40,749,402,558,493,360,128
  5. Step 5: Solve for x
    x = 40,749,402,558,493,360,128/2,923,866,925
  6. Step 6: Final answer
    x = 13,936,818,468.06

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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.