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Finding the Third Proportional to 7,864,265 and 10,625,115

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Solution

The third proportional to 7,864,265 and 10,625,115 is: 14,355,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864,265 : 10,625,115 = 10,625,115 : x
  2. Step 2: Convert to fraction form
    7,864,265/10,625,115 = 10,625,115/x
  3. Step 3: Cross multiply
    7,864,265x = 10,625,115 × 10,625,115
  4. Step 4: Simplify right side
    7,864,265x = 112,893,068,763,225
  5. Step 5: Solve for x
    x = 112,893,068,763,225/7,864,265
  6. Step 6: Final answer
    x = 14,355,196.42

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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.