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Finding the Third Proportional to 1,951,735,486 and 2,973,365,112

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Solution

The third proportional to 1,951,735,486 and 2,973,365,112 is: 4,529,763,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951,735,486 : 2,973,365,112 = 2,973,365,112 : x
  2. Step 2: Convert to fraction form
    1,951,735,486/2,973,365,112 = 2,973,365,112/x
  3. Step 3: Cross multiply
    1,951,735,486x = 2,973,365,112 × 2,973,365,112
  4. Step 4: Simplify right side
    1,951,735,486x = 8,840,900,089,258,772,480
  5. Step 5: Solve for x
    x = 8,840,900,089,258,772,480/1,951,735,486
  6. Step 6: Final answer
    x = 4,529,763,460.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.