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Finding the Third Proportional to 3,407,499,148 and 5,234,335,901

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Solution

The third proportional to 3,407,499,148 and 5,234,335,901 is: 8,040,580,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,499,148 : 5,234,335,901 = 5,234,335,901 : x
  2. Step 2: Convert to fraction form
    3,407,499,148/5,234,335,901 = 5,234,335,901/x
  3. Step 3: Cross multiply
    3,407,499,148x = 5,234,335,901 × 5,234,335,901
  4. Step 4: Simplify right side
    3,407,499,148x = 27,398,272,324,497,481,728
  5. Step 5: Solve for x
    x = 27,398,272,324,497,481,728/3,407,499,148
  6. Step 6: Final answer
    x = 8,040,580,829.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.