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Finding the Third Proportional to 3,107,168 and 6,646,106

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Solution

The third proportional to 3,107,168 and 6,646,106 is: 14,215,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,168 : 6,646,106 = 6,646,106 : x
  2. Step 2: Convert to fraction form
    3,107,168/6,646,106 = 6,646,106/x
  3. Step 3: Cross multiply
    3,107,168x = 6,646,106 × 6,646,106
  4. Step 4: Simplify right side
    3,107,168x = 44,170,724,963,236
  5. Step 5: Solve for x
    x = 44,170,724,963,236/3,107,168
  6. Step 6: Final answer
    x = 14,215,750.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.