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Finding the Third Proportional to 7,345,376 and 11,401,248

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Solution

The third proportional to 7,345,376 and 11,401,248 is: 17,696,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345,376 : 11,401,248 = 11,401,248 : x
  2. Step 2: Convert to fraction form
    7,345,376/11,401,248 = 11,401,248/x
  3. Step 3: Cross multiply
    7,345,376x = 11,401,248 × 11,401,248
  4. Step 4: Simplify right side
    7,345,376x = 129,988,455,957,504
  5. Step 5: Solve for x
    x = 129,988,455,957,504/7,345,376
  6. Step 6: Final answer
    x = 17,696,637.44

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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.