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Finding the Third Proportional to 577,162,913 and 1,236,049,658

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Solution

The third proportional to 577,162,913 and 1,236,049,658 is: 2,647,118,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,162,913 : 1,236,049,658 = 1,236,049,658 : x
  2. Step 2: Convert to fraction form
    577,162,913/1,236,049,658 = 1,236,049,658/x
  3. Step 3: Cross multiply
    577,162,913x = 1,236,049,658 × 1,236,049,658
  4. Step 4: Simplify right side
    577,162,913x = 1,527,818,757,041,916,928
  5. Step 5: Solve for x
    x = 1,527,818,757,041,916,928/577,162,913
  6. Step 6: Final answer
    x = 2,647,118,729.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.