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Finding the Third Proportional to 2,735,471,106 and 6,451,000,746.75

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Solution

The third proportional to 2,735,471,106 and 6,451,000,746.75 is: 15,213,251,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,471,106 : 6,451,000,746.75 = 6,451,000,746.75 : x
  2. Step 2: Convert to fraction form
    2,735,471,106/6,451,000,746.75 = 6,451,000,746.75/x
  3. Step 3: Cross multiply
    2,735,471,106x = 6,451,000,746.75 × 6,451,000,746.75
  4. Step 4: Simplify right side
    2,735,471,106x = 41,615,410,634,569,056,256
  5. Step 5: Solve for x
    x = 41,615,410,634,569,056,256/2,735,471,106
  6. Step 6: Final answer
    x = 15,213,251,766.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.