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Finding the Third Proportional to 5,085,411.19 and 7,675,409.39

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Solution

The third proportional to 5,085,411.19 and 7,675,409.39 is: 11,584,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085,411.19 : 7,675,409.39 = 7,675,409.39 : x
  2. Step 2: Convert to fraction form
    5,085,411.19/7,675,409.39 = 7,675,409.39/x
  3. Step 3: Cross multiply
    5,085,411.19x = 7,675,409.39 × 7,675,409.39
  4. Step 4: Simplify right side
    5,085,411.19x = 58,911,909,313,694.44
  5. Step 5: Solve for x
    x = 58,911,909,313,694.44/5,085,411.19
  6. Step 6: Final answer
    x = 11,584,492.81

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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.