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Finding the Third Proportional to 824,372,916 and 1,777,882,344

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Solution

The third proportional to 824,372,916 and 1,777,882,344 is: 3,834,266,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,916 : 1,777,882,344 = 1,777,882,344 : x
  2. Step 2: Convert to fraction form
    824,372,916/1,777,882,344 = 1,777,882,344/x
  3. Step 3: Cross multiply
    824,372,916x = 1,777,882,344 × 1,777,882,344
  4. Step 4: Simplify right side
    824,372,916x = 3,160,865,629,106,934,272
  5. Step 5: Solve for x
    x = 3,160,865,629,106,934,272/824,372,916
  6. Step 6: Final answer
    x = 3,834,266,710.80

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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.