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Finding the Third Proportional to 2,140,345,383 and 4,701,591,957

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Solution

The third proportional to 2,140,345,383 and 4,701,591,957 is: 10,327,756,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,345,383 : 4,701,591,957 = 4,701,591,957 : x
  2. Step 2: Convert to fraction form
    2,140,345,383/4,701,591,957 = 4,701,591,957/x
  3. Step 3: Cross multiply
    2,140,345,383x = 4,701,591,957 × 4,701,591,957
  4. Step 4: Simplify right side
    2,140,345,383x = 22,104,966,930,127,089,664
  5. Step 5: Solve for x
    x = 22,104,966,930,127,089,664/2,140,345,383
  6. Step 6: Final answer
    x = 10,327,756,961.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.