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Finding the Third Proportional to 3,023,383,887 and 4,323,444,120

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Solution

The third proportional to 3,023,383,887 and 4,323,444,120 is: 6,182,532,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,383,887 : 4,323,444,120 = 4,323,444,120 : x
  2. Step 2: Convert to fraction form
    3,023,383,887/4,323,444,120 = 4,323,444,120/x
  3. Step 3: Cross multiply
    3,023,383,887x = 4,323,444,120 × 4,323,444,120
  4. Step 4: Simplify right side
    3,023,383,887x = 18,692,169,058,762,575,872
  5. Step 5: Solve for x
    x = 18,692,169,058,762,575,872/3,023,383,887
  6. Step 6: Final answer
    x = 6,182,532,472.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.