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Finding the Third Proportional to 828,140,112 and 1,772,612,100

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Solution

The third proportional to 828,140,112 and 1,772,612,100 is: 3,794,229,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,140,112 : 1,772,612,100 = 1,772,612,100 : x
  2. Step 2: Convert to fraction form
    828,140,112/1,772,612,100 = 1,772,612,100/x
  3. Step 3: Cross multiply
    828,140,112x = 1,772,612,100 × 1,772,612,100
  4. Step 4: Simplify right side
    828,140,112x = 3,142,153,657,066,409,984
  5. Step 5: Solve for x
    x = 3,142,153,657,066,409,984/828,140,112
  6. Step 6: Final answer
    x = 3,794,229,516.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.