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Finding the Third Proportional to 2,587,420,309 and 5,628,183,421

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Solution

The third proportional to 2,587,420,309 and 5,628,183,421 is: 12,242,482,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,420,309 : 5,628,183,421 = 5,628,183,421 : x
  2. Step 2: Convert to fraction form
    2,587,420,309/5,628,183,421 = 5,628,183,421/x
  3. Step 3: Cross multiply
    2,587,420,309x = 5,628,183,421 × 5,628,183,421
  4. Step 4: Simplify right side
    2,587,420,309x = 31,676,448,620,419,264,512
  5. Step 5: Solve for x
    x = 31,676,448,620,419,264,512/2,587,420,309
  6. Step 6: Final answer
    x = 12,242,482,796.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.