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Finding the Third Proportional to 824,372,548 and 1,777,881,606

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Solution

The third proportional to 824,372,548 and 1,777,881,606 is: 3,834,265,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,548 : 1,777,881,606 = 1,777,881,606 : x
  2. Step 2: Convert to fraction form
    824,372,548/1,777,881,606 = 1,777,881,606/x
  3. Step 3: Cross multiply
    824,372,548x = 1,777,881,606 × 1,777,881,606
  4. Step 4: Simplify right side
    824,372,548x = 3,160,863,004,953,139,200
  5. Step 5: Solve for x
    x = 3,160,863,004,953,139,200/824,372,548
  6. Step 6: Final answer
    x = 3,834,265,239.21

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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.