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Finding the Third Proportional to 6,966,166 and 14,778,701

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Solution

The third proportional to 6,966,166 and 14,778,701 is: 31,352,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966,166 : 14,778,701 = 14,778,701 : x
  2. Step 2: Convert to fraction form
    6,966,166/14,778,701 = 14,778,701/x
  3. Step 3: Cross multiply
    6,966,166x = 14,778,701 × 14,778,701
  4. Step 4: Simplify right side
    6,966,166x = 218,410,003,247,401
  5. Step 5: Solve for x
    x = 218,410,003,247,401/6,966,166
  6. Step 6: Final answer
    x = 31,352,971.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.