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Finding the Third Proportional to 3,014,256,273 and 4,071,247,273.50

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Solution

The third proportional to 3,014,256,273 and 4,071,247,273.50 is: 5,498,886,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014,256,273 : 4,071,247,273.50 = 4,071,247,273.50 : x
  2. Step 2: Convert to fraction form
    3,014,256,273/4,071,247,273.50 = 4,071,247,273.50/x
  3. Step 3: Cross multiply
    3,014,256,273x = 4,071,247,273.50 × 4,071,247,273.50
  4. Step 4: Simplify right side
    3,014,256,273x = 16,575,054,361,981,184,000
  5. Step 5: Solve for x
    x = 16,575,054,361,981,184,000/3,014,256,273
  6. Step 6: Final answer
    x = 5,498,886,909.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.