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Finding the Third Proportional to 1,863,677,031 and 4,141,063,839

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Solution

The third proportional to 1,863,677,031 and 4,141,063,839 is: 9,201,384,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,677,031 : 4,141,063,839 = 4,141,063,839 : x
  2. Step 2: Convert to fraction form
    1,863,677,031/4,141,063,839 = 4,141,063,839/x
  3. Step 3: Cross multiply
    1,863,677,031x = 4,141,063,839 × 4,141,063,839
  4. Step 4: Simplify right side
    1,863,677,031x = 17,148,409,718,673,418,240
  5. Step 5: Solve for x
    x = 17,148,409,718,673,418,240/1,863,677,031
  6. Step 6: Final answer
    x = 9,201,384,914.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.