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Finding the Third Proportional to 2,984,712,579 and 6,388,706,286

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Solution

The third proportional to 2,984,712,579 and 6,388,706,286 is: 13,674,873,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,712,579 : 6,388,706,286 = 6,388,706,286 : x
  2. Step 2: Convert to fraction form
    2,984,712,579/6,388,706,286 = 6,388,706,286/x
  3. Step 3: Cross multiply
    2,984,712,579x = 6,388,706,286 × 6,388,706,286
  4. Step 4: Simplify right side
    2,984,712,579x = 40,815,568,008,775,917,568
  5. Step 5: Solve for x
    x = 40,815,568,008,775,917,568/2,984,712,579
  6. Step 6: Final answer
    x = 13,674,873,854.17

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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.