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Finding the Third Proportional to 1,559,642,797.50 and 3,467,999,464

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Solution

The third proportional to 1,559,642,797.50 and 3,467,999,464 is: 7,711,394,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,642,797.50 : 3,467,999,464 = 3,467,999,464 : x
  2. Step 2: Convert to fraction form
    1,559,642,797.50/3,467,999,464 = 3,467,999,464/x
  3. Step 3: Cross multiply
    1,559,642,797.50x = 3,467,999,464 × 3,467,999,464
  4. Step 4: Simplify right side
    1,559,642,797.50x = 12,027,020,282,304,286,720
  5. Step 5: Solve for x
    x = 12,027,020,282,304,286,720/1,559,642,797.50
  6. Step 6: Final answer
    x = 7,711,394,109.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.