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Finding the Third Proportional to 7,345,380 and 11,401,254

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Solution

The third proportional to 7,345,380 and 11,401,254 is: 17,696,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345,380 : 11,401,254 = 11,401,254 : x
  2. Step 2: Convert to fraction form
    7,345,380/11,401,254 = 11,401,254/x
  3. Step 3: Cross multiply
    7,345,380x = 11,401,254 × 11,401,254
  4. Step 4: Simplify right side
    7,345,380x = 129,988,592,772,516
  5. Step 5: Solve for x
    x = 129,988,592,772,516/7,345,380
  6. Step 6: Final answer
    x = 17,696,646.43

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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.