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Finding the Third Proportional to 832,507,406 and 1,851,150,320

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Solution

The third proportional to 832,507,406 and 1,851,150,320 is: 4,116,188,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,507,406 : 1,851,150,320 = 1,851,150,320 : x
  2. Step 2: Convert to fraction form
    832,507,406/1,851,150,320 = 1,851,150,320/x
  3. Step 3: Cross multiply
    832,507,406x = 1,851,150,320 × 1,851,150,320
  4. Step 4: Simplify right side
    832,507,406x = 3,426,757,507,236,102,144
  5. Step 5: Solve for x
    x = 3,426,757,507,236,102,144/832,507,406
  6. Step 6: Final answer
    x = 4,116,188,615.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.