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Finding the Third Proportional to 19,690,979,762 and 42,368,460,214

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Solution

The third proportional to 19,690,979,762 and 42,368,460,214 is: 91,162,879,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690,979,762 : 42,368,460,214 = 42,368,460,214 : x
  2. Step 2: Convert to fraction form
    19,690,979,762/42,368,460,214 = 42,368,460,214/x
  3. Step 3: Cross multiply
    19,690,979,762x = 42,368,460,214 × 42,368,460,214
  4. Step 4: Simplify right side
    19,690,979,762x = 1,795,086,420,905,300,852,736
  5. Step 5: Solve for x
    x = 1,795,086,420,905,300,852,736/19,690,979,762
  6. Step 6: Final answer
    x = 91,162,879,785.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.