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Finding the Third Proportional to 3,085,370 and 6,701,440

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Solution

The third proportional to 3,085,370 and 6,701,440 is: 14,555,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,370 : 6,701,440 = 6,701,440 : x
  2. Step 2: Convert to fraction form
    3,085,370/6,701,440 = 6,701,440/x
  3. Step 3: Cross multiply
    3,085,370x = 6,701,440 × 6,701,440
  4. Step 4: Simplify right side
    3,085,370x = 44,909,298,073,600
  5. Step 5: Solve for x
    x = 44,909,298,073,600/3,085,370
  6. Step 6: Final answer
    x = 14,555,563.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.