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Finding the Third Proportional to 7,340,046 and 17,269,701

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Solution

The third proportional to 7,340,046 and 17,269,701 is: 40,632,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340,046 : 17,269,701 = 17,269,701 : x
  2. Step 2: Convert to fraction form
    7,340,046/17,269,701 = 17,269,701/x
  3. Step 3: Cross multiply
    7,340,046x = 17,269,701 × 17,269,701
  4. Step 4: Simplify right side
    7,340,046x = 298,242,572,629,401
  5. Step 5: Solve for x
    x = 298,242,572,629,401/7,340,046
  6. Step 6: Final answer
    x = 40,632,248.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.