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Finding the Third Proportional to 1,558,353,352.50 and 3,428,374,282.50

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Solution

The third proportional to 1,558,353,352.50 and 3,428,374,282.50 is: 7,542,416,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558,353,352.50 : 3,428,374,282.50 = 3,428,374,282.50 : x
  2. Step 2: Convert to fraction form
    1,558,353,352.50/3,428,374,282.50 = 3,428,374,282.50/x
  3. Step 3: Cross multiply
    1,558,353,352.50x = 3,428,374,282.50 × 3,428,374,282.50
  4. Step 4: Simplify right side
    1,558,353,352.50x = 11,753,750,220,907,388,928
  5. Step 5: Solve for x
    x = 11,753,750,220,907,388,928/1,558,353,352.50
  6. Step 6: Final answer
    x = 7,542,416,616.91

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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.