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Finding the Third Proportional to 2,923,866,922.50 and 6,383,525,868

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Solution

The third proportional to 2,923,866,922.50 and 6,383,525,868 is: 13,936,818,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,866,922.50 : 6,383,525,868 = 6,383,525,868 : x
  2. Step 2: Convert to fraction form
    2,923,866,922.50/6,383,525,868 = 6,383,525,868/x
  3. Step 3: Cross multiply
    2,923,866,922.50x = 6,383,525,868 × 6,383,525,868
  4. Step 4: Simplify right side
    2,923,866,922.50x = 40,749,402,507,425,153,024
  5. Step 5: Solve for x
    x = 40,749,402,507,425,153,024/2,923,866,922.50
  6. Step 6: Final answer
    x = 13,936,818,462.51

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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.