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Finding the Third Proportional to 824,372,880 and 1,777,882,272

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Solution

The third proportional to 824,372,880 and 1,777,882,272 is: 3,834,266,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,880 : 1,777,882,272 = 1,777,882,272 : x
  2. Step 2: Convert to fraction form
    824,372,880/1,777,882,272 = 1,777,882,272/x
  3. Step 3: Cross multiply
    824,372,880x = 1,777,882,272 × 1,777,882,272
  4. Step 4: Simplify right side
    824,372,880x = 3,160,865,373,091,881,984
  5. Step 5: Solve for x
    x = 3,160,865,373,091,881,984/824,372,880
  6. Step 6: Final answer
    x = 3,834,266,567.69

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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.