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Finding the Third Proportional to 846,907,041 and 1,834,512,909

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Solution

The third proportional to 846,907,041 and 1,834,512,909 is: 3,973,798,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,907,041 : 1,834,512,909 = 1,834,512,909 : x
  2. Step 2: Convert to fraction form
    846,907,041/1,834,512,909 = 1,834,512,909/x
  3. Step 3: Cross multiply
    846,907,041x = 1,834,512,909 × 1,834,512,909
  4. Step 4: Simplify right side
    846,907,041x = 3,365,437,613,287,642,112
  5. Step 5: Solve for x
    x = 3,365,437,613,287,642,112/846,907,041
  6. Step 6: Final answer
    x = 3,973,798,127.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.