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Finding the Third Proportional to 3,138,077,503.75 and 6,827,751,232.50

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Solution

The third proportional to 3,138,077,503.75 and 6,827,751,232.50 is: 14,855,651,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,077,503.75 : 6,827,751,232.50 = 6,827,751,232.50 : x
  2. Step 2: Convert to fraction form
    3,138,077,503.75/6,827,751,232.50 = 6,827,751,232.50/x
  3. Step 3: Cross multiply
    3,138,077,503.75x = 6,827,751,232.50 × 6,827,751,232.50
  4. Step 4: Simplify right side
    3,138,077,503.75x = 46,618,186,892,905,267,200
  5. Step 5: Solve for x
    x = 46,618,186,892,905,267,200/3,138,077,503.75
  6. Step 6: Final answer
    x = 14,855,651,856.02

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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.