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Finding the Third Proportional to 824,372,882 and 1,777,882,276

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Solution

The third proportional to 824,372,882 and 1,777,882,276 is: 3,834,266,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,882 : 1,777,882,276 = 1,777,882,276 : x
  2. Step 2: Convert to fraction form
    824,372,882/1,777,882,276 = 1,777,882,276/x
  3. Step 3: Cross multiply
    824,372,882x = 1,777,882,276 × 1,777,882,276
  4. Step 4: Simplify right side
    824,372,882x = 3,160,865,387,314,940,416
  5. Step 5: Solve for x
    x = 3,160,865,387,314,940,416/824,372,882
  6. Step 6: Final answer
    x = 3,834,266,575.64

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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.