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Finding the Third Proportional to 2,960,026,219 and 6,581,867,558

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Solution

The third proportional to 2,960,026,219 and 6,581,867,558 is: 14,635,336,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,026,219 : 6,581,867,558 = 6,581,867,558 : x
  2. Step 2: Convert to fraction form
    2,960,026,219/6,581,867,558 = 6,581,867,558/x
  3. Step 3: Cross multiply
    2,960,026,219x = 6,581,867,558 × 6,581,867,558
  4. Step 4: Simplify right side
    2,960,026,219x = 43,320,980,551,052,886,016
  5. Step 5: Solve for x
    x = 43,320,980,551,052,886,016/2,960,026,219
  6. Step 6: Final answer
    x = 14,635,336,765.93

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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.