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Finding the Third Proportional to 5,085,414 and 7,675,412.63

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Solution

The third proportional to 5,085,414 and 7,675,412.63 is: 11,584,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085,414 : 7,675,412.63 = 7,675,412.63 : x
  2. Step 2: Convert to fraction form
    5,085,414/7,675,412.63 = 7,675,412.63/x
  3. Step 3: Cross multiply
    5,085,414x = 7,675,412.63 × 7,675,412.63
  4. Step 4: Simplify right side
    5,085,414x = 58,911,958,964,009.39
  5. Step 5: Solve for x
    x = 58,911,958,964,009.39/5,085,414
  6. Step 6: Final answer
    x = 11,584,496.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.