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Finding the Third Proportional to 8,678,896,582.50 and 18,837,324,909

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Solution

The third proportional to 8,678,896,582.50 and 18,837,324,909 is: 40,885,935,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678,896,582.50 : 18,837,324,909 = 18,837,324,909 : x
  2. Step 2: Convert to fraction form
    8,678,896,582.50/18,837,324,909 = 18,837,324,909/x
  3. Step 3: Cross multiply
    8,678,896,582.50x = 18,837,324,909 × 18,837,324,909
  4. Step 4: Simplify right side
    8,678,896,582.50x = 354,844,809,727,231,852,544
  5. Step 5: Solve for x
    x = 354,844,809,727,231,852,544/8,678,896,582.50
  6. Step 6: Final answer
    x = 40,885,935,942.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.