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Finding the Third Proportional to 269,021,919,567 and 592,879,074,202.50

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Solution

The third proportional to 269,021,919,567 and 592,879,074,202.50 is: 1,306,605,785,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,021,919,567 : 592,879,074,202.50 = 592,879,074,202.50 : x
  2. Step 2: Convert to fraction form
    269,021,919,567/592,879,074,202.50 = 592,879,074,202.50/x
  3. Step 3: Cross multiply
    269,021,919,567x = 592,879,074,202.50 × 592,879,074,202.50
  4. Step 4: Simplify right side
    269,021,919,567x = 351,505,596,627,213,472,497,664
  5. Step 5: Solve for x
    x = 351,505,596,627,213,472,497,664/269,021,919,567
  6. Step 6: Final answer
    x = 1,306,605,785,851.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.