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Finding the Third Proportional to 7,345,396 and 11,401,278

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Solution

The third proportional to 7,345,396 and 11,401,278 is: 17,696,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345,396 : 11,401,278 = 11,401,278 : x
  2. Step 2: Convert to fraction form
    7,345,396/11,401,278 = 11,401,278/x
  3. Step 3: Cross multiply
    7,345,396x = 11,401,278 × 11,401,278
  4. Step 4: Simplify right side
    7,345,396x = 129,989,140,033,284
  5. Step 5: Solve for x
    x = 129,989,140,033,284/7,345,396
  6. Step 6: Final answer
    x = 17,696,682.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.