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Finding the Third Proportional to 7,864,425 and 10,625,337

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Solution

The third proportional to 7,864,425 and 10,625,337 is: 14,355,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864,425 : 10,625,337 = 10,625,337 : x
  2. Step 2: Convert to fraction form
    7,864,425/10,625,337 = 10,625,337/x
  3. Step 3: Cross multiply
    7,864,425x = 10,625,337 × 10,625,337
  4. Step 4: Simplify right side
    7,864,425x = 112,897,786,363,569
  5. Step 5: Solve for x
    x = 112,897,786,363,569/7,864,425
  6. Step 6: Final answer
    x = 14,355,504.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.