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Finding the Third Proportional to 4,619,236,776 and 10,778,591,652

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Solution

The third proportional to 4,619,236,776 and 10,778,591,652 is: 25,150,916,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619,236,776 : 10,778,591,652 = 10,778,591,652 : x
  2. Step 2: Convert to fraction form
    4,619,236,776/10,778,591,652 = 10,778,591,652/x
  3. Step 3: Cross multiply
    4,619,236,776x = 10,778,591,652 × 10,778,591,652
  4. Step 4: Simplify right side
    4,619,236,776x = 116,178,038,000,564,092,928
  5. Step 5: Solve for x
    x = 116,178,038,000,564,092,928/4,619,236,776
  6. Step 6: Final answer
    x = 25,150,916,403.37

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.