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Finding the Third Proportional to 3,407,456,928 and 5,097,564,150

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Solution

The third proportional to 3,407,456,928 and 5,097,564,150 is: 7,625,968,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,456,928 : 5,097,564,150 = 5,097,564,150 : x
  2. Step 2: Convert to fraction form
    3,407,456,928/5,097,564,150 = 5,097,564,150/x
  3. Step 3: Cross multiply
    3,407,456,928x = 5,097,564,150 × 5,097,564,150
  4. Step 4: Simplify right side
    3,407,456,928x = 25,985,160,263,365,222,400
  5. Step 5: Solve for x
    x = 25,985,160,263,365,222,400/3,407,456,928
  6. Step 6: Final answer
    x = 7,625,968,812.65

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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.