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Finding the Third Proportional to 824,372,962 and 1,777,882,436

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Solution

The third proportional to 824,372,962 and 1,777,882,436 is: 3,834,266,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,962 : 1,777,882,436 = 1,777,882,436 : x
  2. Step 2: Convert to fraction form
    824,372,962/1,777,882,436 = 1,777,882,436/x
  3. Step 3: Cross multiply
    824,372,962x = 1,777,882,436 × 1,777,882,436
  4. Step 4: Simplify right side
    824,372,962x = 3,160,865,956,237,294,080
  5. Step 5: Solve for x
    x = 3,160,865,956,237,294,080/824,372,962
  6. Step 6: Final answer
    x = 3,834,266,893.67

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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.