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Finding the Third Proportional to 7,629,614 and 10,694,468

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Solution

The third proportional to 7,629,614 and 10,694,468 is: 14,990,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629,614 : 10,694,468 = 10,694,468 : x
  2. Step 2: Convert to fraction form
    7,629,614/10,694,468 = 10,694,468/x
  3. Step 3: Cross multiply
    7,629,614x = 10,694,468 × 10,694,468
  4. Step 4: Simplify right side
    7,629,614x = 114,371,645,803,024
  5. Step 5: Solve for x
    x = 114,371,645,803,024/7,629,614
  6. Step 6: Final answer
    x = 14,990,489.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.