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Finding the Third Proportional to 1,081,867,632 and 1,623,023,100

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Solution

The third proportional to 1,081,867,632 and 1,623,023,100 is: 2,434,867,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,867,632 : 1,623,023,100 = 1,623,023,100 : x
  2. Step 2: Convert to fraction form
    1,081,867,632/1,623,023,100 = 1,623,023,100/x
  3. Step 3: Cross multiply
    1,081,867,632x = 1,623,023,100 × 1,623,023,100
  4. Step 4: Simplify right side
    1,081,867,632x = 2,634,203,983,133,609,984
  5. Step 5: Solve for x
    x = 2,634,203,983,133,609,984/1,081,867,632
  6. Step 6: Final answer
    x = 2,434,867,173.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.