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Finding the Third Proportional to 824,372,850 and 1,777,882,214

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Solution

The third proportional to 824,372,850 and 1,777,882,214 is: 3,834,266,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,850 : 1,777,882,214 = 1,777,882,214 : x
  2. Step 2: Convert to fraction form
    824,372,850/1,777,882,214 = 1,777,882,214/x
  3. Step 3: Cross multiply
    824,372,850x = 1,777,882,214 × 1,777,882,214
  4. Step 4: Simplify right side
    824,372,850x = 3,160,865,166,857,541,632
  5. Step 5: Solve for x
    x = 3,160,865,166,857,541,632/824,372,850
  6. Step 6: Final answer
    x = 3,834,266,457.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.